Chapter 5 Continuity and Differentiability Ex 5.2 Solutions
Question - 1 : - Differentiatethe functions with respect to x.-
![](data:image/png;base64,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)
Answer - 1 : - Let y = sin(x2 + 5),
put x² + 5 = t
y = sint
t = x²+5
_= cos (x² + 5) × 2x
_= 2x cos (x² + 5)
Question - 2 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,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)
Answer - 2 : -
Thus, f isa composite function of two functions.
Put t = u (x)= sin x
![](data:image/png;base64,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)
By chain rule,
![](data:image/png;base64,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)
Alternate method
![](data:image/png;base64,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)
Question - 3 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAfCAYAAABwH0oUAAADyUlEQVRoBe2YPUiVURjHJZzCKRylIZzCKZzCUZqkIRylSZqkSZqkIZzEKRylIZzCUZqkIRylSZqkSRrCUZqkU78L/8vjc885730/fK/BES7nnnOej//zfz7OxalQ/loxMNVKuyiHIYHXf65D+YzPgWqnENiwcAqBDYlTlxYC/1cCz3+ch733e3d+3u7u7IbLX5dJnBOpwKvfV2H91XoSlNrjLqxgXXu5FlhjeBoRSPWsvljNZibmTGeQd/rtNApIMn2tVNf+h/2w8XojnHw9iWI6+nwUNt9sRu8aEXj2/SwsPF4IFz8vokZzwUP+4pPF2no5m23vwDR9bzobz/yj+eh9IwLbACaTqWy2sdtG9+DjQWVS6Zrtd9sjie+dQDIJ4DYBj6uLH7qlSp4Zt/V2KyvHg0fXeVtZAlGCdSpm+dnyYJAyTJkZtKFa+PDT4eCeGYL83MO5wYz0zpCnVVKzRvLc44M5iW1aTLbZI4ct5laOILAcfzkeCVp+tM4+mA3MOeRT85l7sPsXOUkgwFaerwydYxjy+BAExggMEATHHhn0+MzcnxmpNMlJTwFoBRzVgBxnJM6ChlSCRU6jIPcYUVWyJR9+RR8f/FwBN3bx4V9dyXl7SQIRhASYx6kNGkeWQJyxt9mmQsmoBQwByKly7R3fl54u3bABAf7BAROJ8rqxPfoWU0oGv7ojTjASo85Yda4O0F2SQARoW4zhwDI/LoF+rjASsOfbAF9UgK14zvip5G2AySdGwYALrPowSphb2qMrWa3ckVjtVWm+AkWglUVHf8l/JsA4IAhcJDYlMFeBBKtqB5gAy6cCJGBPtO78WlWBJJK4bEeQ5BjRwuMfwCSBAEcJUGSDVmJos29KoAax7CpggdM5/qg+ZpFkWAFPQnVuA7dy+l71iGDPjwj2sbmqmP1IyBJIECplsq7+h1wyh1HAEgh7W0FULQNZwbCKKF9VqgQShA8qB10qgT1EsGIfPMxBKsX6s370vaoCmaUWI98Vo2xoVcw+aUkCCRbgBIVhlS7BAh5wtCR7Vvac44DA2KMvkgWE6pEtnbFyRsI0YwgEvxAGBqvDvJScteG/2y7yd+yxDWZ91AExWfwzZvxdkkAv2NV+nB+tXfnq0g7JjL3+vRNIVfAQdBlcH7bAHJuNvRNIsMzTXLv0QUgdH2BNvfwTIRBAsXaoE1SfsszgVMInQiDB08rjPAR9EhXzBUawxu4401/yh3RKsYtzXvAu7NymjSqMEyXwNgPvy3Yh8F8btiG7ENg1gWK0rPUYGD4i9dSKtBj4C/dygYGdROxxAAAAAElFTkSuQmCC)
Answer - 3 : - ![](data:image/png;base64,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)
Thus, f isa composite function of two functions, u and v.
Put t = u (x) = ax + b
![](data:image/png;base64,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)
Hence, by chain rule, we obtain
![](data:image/png;base64,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)
Alternate method
![](data:image/png;base64,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)
Question - 4 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAAnCAYAAAAb8vbvAAAFuUlEQVRoBe3YPciVZRgHcAmncApHaZKGcAqncJQmaQhHaQincJQmaQgncQqncJQmaZKGcApHaZImaZImaQhH6dRP+Mvt9d73+fI553mx88Lhfu6v6+P/vz6e5z2xOPwdGwROHBtLDoYsXpPx8p+Xi8NvHgwShwcyjkEQHsg4BiSkEs1Oxu1bt/83ZfHmdzeX+jorGfd+vLd4+MvDpQYmaqYcd63z0a+Puj7d/+n+wm/ky2xkvPj7xeLKl1eGho0Mftv1G9/eWDz789lGegEocFb9YhsdT/942tVx+YvL3XV387f3Bn73h7uvnIsD+xhlxJ3v7wzB6NkgaM5/cv7VPXeX/XL/+V/PFyPQ3ed7zrbjbGRwkNGtMbt+vvjZxQVwN9Hz4OcHC5G+yR1nr39zvVuCZeWFTy905c1ChhQ++9HZrkGbOr3u+ce/PR5G6zIZI1CX3bG3TB/fe6VyFjKk6SiNVzm57T5QNy1RdIniTbMpNp7+4HQ3+y99fqlbqmYhQ+PeJvXj5DbjuY/PLUZvOSN5yqjSNtpftY5ITb+eExhXv7p6ZH0WMtIQq5G7mgP15Hsnu6VhmU4N/22CBuDXvr52BHQZCoOqexYyTr1/avi+Dbhtykl1rJ1rwsho19Z53rZfRDYie6B7VYZBzmXcOxkaF2BGJUMJm/qrnLwzH5454nxAGI3bvH21sgRVD3QZ18vUpWRotNgVIRpu28go8nmvGdXPfHXSGmClaXvPWwZDjK3hnumyBwT33UMeGfboStbYY5+6LJvo0hd6RLpvr+pbNie/9gu20Nn6y9fYVOXZ4w/72r0RBkMynvz+5I03HvUvoLbpS5G3hhgIDMBFuchwPvNEBflZa0evfS2gCIg82ZSIopdOc+cDlHn9+kVUr1y0euvz6PuC3bJMqQkxrb2tHGfYU301t05He35IBtCAnHISgQixzoD8GMdZe8AHTJQwmKzMU78rYNmvZCAi993hRLIqzuYuguznfNYROvrQ4heyavS2eiMno0wjr+rJfkb7rb1Zjx/sz5oxf0f+HQJYCgmTriEFEMiwX39JP+utkvY5AK5LhrsAk10Aap2LrMindxMy2CugBBNCIsfI95Ef9K7Tg0JGsIv8jcnIRXVPvY2TAbyCKbKyV5W3URcA6/3oq5kBLEABRsZNSUZ0BrSUDbpGmeROekFbASKrHSMXLu36xmQQ1CpjXPqGUiT1WwVA44S9+nXdNrhNyhR5wA+525KBzFUNnG+inU6+p0+1PnpmQwLUaM2des48vqbE50zICPlZH5YpBrVvUJ6jPI2Tg5xAVNgHPACVNg4ZW2MA20Z3DMlIljvkuBdy2aNUuUs/fYnQgJGeIfsiz+iejGvX6rO7yOBPr1/QT66gc1ffgAk7o7/KTBVoK4MzowoyJAMQnKaUM9VBc8aIuhARY7LHsZYI+4mKRHvuZCSLzESNURayxRn2eCngICAAhxRzo7n1FgBzfS46RmMiORnSniObP5HLL3a21aM975mdgqmuJyBrqR6SUQVMORfdldwp5VdZoprOut6bA3hZv+jdGa0JoN4rNd979sxChvImWkdOTL2ujHC+RuJIT6J/tL/uukySyfW8jOn1sFnIEH3KSTVyl3MRmtK3Sz2tbL2vVwFkjBLfnvWcvyPfGfXglHNZ0TNmSh1VFvLTd+rerua93kOXYOxVhlnI0PxWvd1MDRCdInVquSN59I0CTpbar3dnIYMRauZUtbk6NZp7K1v29jO6t826LPTiUO/qX71+4Vz+9lqmKPa+7nWxGrvLudfmffQqgCtFPV/0rVG5nI0MBo/SuOfEVGuA6JWIqeSTQ8foza39Vqk6ZyODIbJj9PFXDZ1y3isfU8kXZCOfBMEoK+jP397LVJz3dZ/nd31c5evsZLzrBLT+yZp2Xp8PZPxXHiooc80PZBxnMsLOYZwPgdcNfD4TDpqDwL9GDpwKu5/8EAAAAABJRU5ErkJggg==)
Answer - 4 : - 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)
Thus, f isa composite function of three functions, u, v, and w.
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)
Hence, by chain rule, we obtain
![](data:image/png;base64,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)
Alternate method
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa8AAAC/CAYAAABJylMuAAAgAElEQVR4Ae3dP8g0y3UmcGEUXhQYRUaRUSRuKBwJBYsjo2hxaDYSCoyixdHiaHFoNrooWBwtDs1GwtFFweJocSgcmY3MBoujxaHYb7/fFY/u+ep293T39Mx0v+95YajuqlPnX506T1V1vzPf+tB/7YH2QHugPdAeuJgHvnUxfVvd9kB7oD3QHmgPfPgdeP3m//3mQ3/aBx0DHQMdAx0DZ46B4HaDV4N2L1o6BjoGOgYuEwMNXh2slwnWM68CW7fepXQMPDcGGrwavBq8OgY6BjoGLhcDh4HXP/7Pf/zwy7//5eUc0Kul566W2t/t71fEwD//r3/+8A//4x8+/Pqfft056o0A9SHgJTB+8ic/+fCX/+kvOzDeSGC8IsG0zAa2R8TAv/3ff/vwxS+++PDt3/v2B7nqETKa5/Nj9xDwMnA//KMffrWy6UF8/iC2z9vnHQPLMfA3//VvvspR7adlP13JP4eAl5XNd3//uzdXNH/87/74w/j56//y1zf7Xcmhz9TVEcjoT/e9unw7E/SZ8fSWZf3Zf/izr3Zfb9nG92bbbvD61//zrx/+9r/97VfPuf7uv//dhz/99396E4Q+/8HnHzwbq59/+d//crPfkYMCaI/k9wxeczqrr750bRyUz9DrCBlzth3B+5E8zqr3WfW6NRaP0Ns8sOOSqyyut+aaR+h0yw9HtF9V76227wIvoGXHxEle0hAYguSWcEeLt2ge2f5X//mvNgfwI/VZy9vko/sa+p/+7KeXAa8tdq2x/Zk0nu+eLUlI1ubmM/1wlCz+FA9H8HPy8PM///mHL3/15Vdj5Hn81txzdV+eLTaPGNeRx2bwAlJ/8R//4pMg8yB0zapmawCNyt5zb3d4ponNF2s+mdAWC2ve5jRpr7LzcpRzlkkmPtaMR15KMi6OaM+iP3348545cmTftf7MnDzKn4DLuNR8ZE6sXfzxwdV9yfYzxeaRcVV5bQIvg/q9P/jeJxNWkDoOrEznrl8JXgZzTq9n1+dZ1Ra5mdy3+lxl5yVuAgS3bHpGuwXZVtCXEL3F9gz9bsmg/5rFzS0+R7XvWUSJhzUnOEs6kjvykJ/swpb61TY8ru5LsTn6odr4Fq43gZfE6BPDrToB0tok9Crw8v8dVe/o/6oyx65b5VtZs2Wp356kscTvUW15/vko/lv57lnciP+1C7et+myht9J2dH+WXSDd98x1C7R7/Kn/Z9/57BM/ACEL7rX+fCu+PEtsrvX7HrpN4GWC1JUmZBcsa1cpewJ6j1FjHy8xWOmP9a+6B0J7/lmSDbdejLnCzmtrQnn0OJnonovskaPf2vjfw39NH6vsMx0ZApF7/Llll1T9Y1FYc0zG9dacqTzemi9fHZvVt0dfbwavvNqe3QNAc8685vXsGlhHGzLHTwAD2DX6zfE4un7PKp8OWRVKDnM6XWHnRcczJVsTXNKa8+lSvVOHV+/qzaszHRFZZN3jT/Gx5PO5NjkpOzdzxNiIM/W3TizC86358tWxGb8+otwEXiaILXhex84Keu2u5hXgRTcvlDzCeXt4AtF7EjdbTMY52VfYeYmhvcltzu576iW5tcltlGNOfP8Pvz87HiP90ffiSUzs1f9offDz/G2vPvf4M0dl8owxdS9XmROub9kaX+7d+d3iv6edL/fqc48v9+j67D6bwOte5V4BXoJ4Se6e47t7/ADwBdVeHmxZAr+z77zsHiXbuQn5ih3y3iMuY+glD/awa82YHh1v4on8OdlHy5uTU+uX5lulm7re6s8pHnvr2pe/mY2jvT59ZL83D15WXnOTyerwHiDZMzDA9J6EwpYcjUzJP/vOKwliDryWgHnK3iPqtjwTGeUl2bJrbBvvHxFvdrBL4PVsfzqu23sszl9b/Dn69977s/nSbvGqvrx3LNb0PxV4SQDAxCQfV+Bpm0r8SQpTx5dzOxV9HPcAExMmxwrk0sFHfXUiHUxOH+1TulT6qeu5RFlX7pEx1V8wLyWrI3desZNf+avqEz85wozv0u5ePR/hkXqlOvqPfdA5ItHG79UfdXxrP32il7GZ0qXKnromSwyMbXhXWWMshJ4f6Myu1E2VY7yFBl996V5tJptN6MTZlC+1Ge+pxYz+ScZkZD6pN574xXfRhZzENJqp+RTauZIdU/6MfP3oUO8rLz5Y48/a56jrOV/SqcZm1T15ia/YFV3iS3V8cqQvj47N6Hy18jTgVd/aMunyVqPBFzgCSEB4QSQvjXC2lWUmHB7jEZDnK4JyHBgT2qSv4CXAgAuZ5GlPUCZ4ySaTHLqgG3nP3Qu6EbzoHl76SSgA90c//tEkXzsrk3tO7lE7L/4BlHxBx/q6scSXxMp/FgHRh/58pR/feVkGr/gEPf1zn1JCwFdbki0efGHyo9M340sn42MsjC+76bF1p0HX2BJdxF8WNnTA01hHj9ClpDPdcj9VjvGGhhzyXfMVGeziC3HC9sSb6ymQ4g9to0zjQd/qT/GHBxnsIiP+Mm7ksyM+NXZ1ro0ypu71rf4kk414s5FtdKYXPaZ4rPHnVL976+Z8uTU2+ZLvRl+K7y06jr7U9xGxuUWnM9GeBrwyyeIcge56TC4GFK3JaWLVpGHSjEkfrcQWvrU06WtAkZVkgk6/AJ/kg1dNYBKcYKo8c51knnsl/eaSQXQJaNd+9Zo+o6/G9goW2iQJ/Jc+lYdrdlVfRi/JyBiEXhKkD3o2S1KxXZuEUH3Gp+jTv5aOEmsbvd0nyWUM0ocv8CdHHf/W/qFLGb1yr5TM2VTrXAdsjFf4jzS5J3MuxkKjzBinzuKg+gafxKOyLgroqH0c24xpeNZy9Jd74xMaMqq/8Krxb0zVhb6WfDLlN/yn/EWWuJmbL5X3Wn/WPkdcL/lya2xu8SXdp2JzzpePiM0j/PdsHrPgZbVhBXHvpxo0NxHQWAUarDG5q5MYgJTAz8dgS1yZ7FVOvV6aCPSZ6i9ZZuImKSURKMNf/6nJyAZ6j7zV1/7ho5Q0JKtaN3Wd5D/HR/tc2xS/uTo82MDHdWJJtuwexwNw3AIPsgK+U3LFWk2mlYbc2J569z65p/NUf/V09gmtUvJdeqbAfjbVPlPXZGaRM9WeOvLHmNDGbnGET9qVo77ax7Gdsivy5vwBXPA3ttVfo35TOuCNr5346Dv1Y110yUKkxlLaxnLKnxYZY264Nzfpn4URHZZ8uTU2R19a/KkbbeUz9eZ+XQws+RKPo2Nz1OsK97PgJcg48N5PdcLU4KXdhJIQTQqBKli0CeS5BILfGNDhl3JqIqRN/yQLdXQAIlkNS0hJjvyAl7L2H8HLZKC7erbUyVp3LOGR0k6zHs2lfiyT/KselUb7XFulW3ONj92XIxB8k/TGo8/w4ks+Qpe6sRwBqLaPq1ttfKkPv9IH//Sp46NubA8d3+pvwtfxEldL8SO55wQgvKZKOiVOptpTN8abBSIbaqxnhzsFHGP84YunT2TUcsof7BHjEiVZ1Z+jflM64I9HFip1/vDlkj/FN5urjlPXU/4Uc5mX6cO+ez9rwWtrbK71JT8mNusp0i1fHh2b8emVylnweoQRc5OMrCQ8ZXZh6gV8PcpQBxBMAgNYj7a0CYQ6QaYmAjof+iRZuB+PNSQkyUVbEoGy9q/JMPUp8a+Jfgm8BCtdk8jCYyyT/KselUb72MYndFn6VB6u6ypQsqKbyeUaCGS80o/M0I1Jpt7zJ17pV0u217bcZwFARm2v44PP2F55uw64ZjHEnpq8Kr16Y7c0ZqGnU+IkdVMl/9dkb5EWXdDjk3Yl+spH+zi2GdNKl+vRH2TV3X38EfpRvykdQqsU+xY2mW/8NedPsu3KlsAtvNlpbHP/rHLJl4nF6JL7zJPR11t9aY6wO/7jy/g1MlNujc1X+DK6PrI8DXjVoBYIJgXDk9TTbkCTUDLgaZPkxiQiQcwNngDTVyLG132AEi/3+GlLcCozINqXwEuQSfSSgOs5WhObDGCMxiovkyKyUib5j+BR26uOqd9a8kvVQeLhG3ItKCwaAipAyydtEmQmIT41QY+r/apXVrf46J/kGl58Y4Lrw198Ucc2Y1R5jtdih35kJI5GGvcZs9BWAB7p6ZQY1CaxxVeVNvFGd/L1C18+ck+udn5CX/trH8eWDSNd+sQf8Sf/ZeER+/F0nXgnP/1dz/EOjZj1cT9HK47Y6ZOkzEfhMZZ0qv4c2x91v+TLrbHJF1t9WeXP+ZLt+JoTa2OzLtAf5btX8D0NeOVIx4Qz8evAuxfQPsAoyYzDapvBHCe3pDsXCPqSi8YENrkiQ5sPEDX4SZxKtOSkr2QzN3jpJzBNgEqHP9kSv3oJDM8ktEqba4mCjrkfS8l89MFIs+beroTf6EQ/esZOdgCwjAk7wtPYGKO0sT9tyvh49IU2SQ5f40imhIqXMYif8HWtP/18AgbxdfxZ5eaaDDyNh0/qlXQnHygGmENrzCttrsmm01S81jhFn3iKXPf6soHO1XY0YiF+0o428Rf54ZH7WtIZj+pP1+qACIDA0zUwUU8u232iw1I8odOPz2JXdDDW/Jf4QMvGejwW2pRoRn+m7dFlFoZTcrbEprHa60v+4cfRl0fF5pRtV607DXgFEExWATw61ODNrdYkkLk2yVxyGPnlfuyHl492OuU69HtK8k3IsS/+Y4Ib78c+eEneY33uTcClZBO6W6XJSj/jMcUvbXP+mRtHvPhi9Hv0MfYjT7zIQzOlS/quLfGbS5Ajf/pE9hT/2FP7oa/3td9oN7rEO7tzXfssXS/tZPXDr8ZUxi08+SLXe8uAYAXw8Br9MI5t6FKiNzZjv7Q/sqT/1DyNzNGX6vnPXHF9hM7RYY0v6RPZ0bGWr/Rl1eNR17vBSxBy8NIqalR6CURG2qPuTSyroKP47eEjeWzx05KMupKdojtq5zXF+4g6yXMOOI7gv5aH8biVSNfwAkbsWQK4NXz20kT+Ebbs1YHt4u4IHWLPEf50amD+rwWVLGoq2O/1yT39zujLe+x5VN/d4EUhW1sr/bXKvQK8BOIrk8ta36ylY8vSavmonddaffbQeV6Wo6Q9/c/UZ+rZ1LP1c6wqUT9b7iPkWRAflSeyUNqym7XQbV/+5hKxdBd4TT1jWgroo4JyScZUGz2XEv5UnzPWWUE6E1/S7ew7L7p7bvOqWFjy3Z42i4WjdtV75OvjmdVbWQyI36P8CYSWjtin/N2+vAZwGbv8fSsXUwM6VeeIAChMtc3VvSphmQzjiwNzOp653hHIrYl9hZ2XlbAd5JYV8VnHxTHuq+3wggA9zuqjLXqx44jjRzL3zPv25RsFL+fRAsIqTyK1SlLnPg8YBZ7Vy9Qbc68CL8ll6wpsy4R7Fq03DW+dx19h58VfQHYqRp7lyyPkiPWzxJWF5K3YOMLmR/K415+OCeUl+QgIyTdOK+QmjzgCinKWuTS36GhfXgPAsuG6ufMCWkk2gsDKWYCYMALGgAsGdD7axkB/FXjRQ/BeeXJ7q2h8fXb0r/sr7LzoKVby/0FTdlyhTpI8y/MRetDnCn6b0/Eef8pJYj+AZK7kRS0AZpGRueEUhqy5N/Xeuy/nxuds9avAy0ADqCifB6H1jSDgdWvyvBK8BKrgjQ1XK/k2K8cl3a+y82KDxdBZkv+ST6facuIw1faqOovGNTHyKv2W5N7jT4Alt1TbzZe62BNnnhfXPLakD18GCJfozth2jy/PaM+cTjfBy6plPE+XdMZVs6R5KzBeCV4cYFDZM+eMs9abRHRfo19Wl2toz0CT4+Yz6LJFh5xCbOnzaFqLyTPqtcbue/S2q6q5hx8AVT39UWcntvbFrffqyzVjdRaam+BlBTO+7ADMarAwBt0IaKOR+knCAijllY/yRvuefW83GT+mNAZXBOhn+67lXeO5xq1xkj/Gl3/kJnX1WNC106Exl93i3+3njZOb4GW3VL8bywpJENQEKYCsoHPGPLfdtiuwQ8vH/T0rrvceWI5J4suUfDrn//fur7b/vIlo79jIO4Aq/c0JC7jxRRp0QC0L7Aps6dvlteLjJngZbOe/ttEG31YcSAEv9xJljn6AGjBS34FwrUDo8erxumIMyEfAC2hZRNtZedtZTpKLtDuVkK/kKv/Qnbor2ts6fz1Pb4KXQfeNCB5+GnwrFoAmIJRW/ICNUwWL48N28NcObl+0LzoGHhsDThucEGURbbEtLwEzuaue7mgLXY/LY8fl0f69CV6PVqD5XzuAevx6/DoGOgZeEQMNXh93jK9wfMtsv3cMdAx0DOyPgQavBq8G746BjoGOgcvFQINXB+3lgrZXq/tXq+279t1biYEGrwavBq+OgY6BjoHLxUCDVwft5YL2rawc247eBXUM7I+BBq8GrwavjoGOgY6By8VAg1cH7eWCtler+1er7bv23VuJgQavBq8Gr46BjoGOga++bOJKXy3X4NVB24mrY6Bj4J3HQL5mq35n7dl3aA1e7zxozx6grV8fc3UMPD4GfDek76a9kq8bvBq8LhWwV5pcrevjk277+Bgf+77H+uOdV/Brg1eDV4NXx0DHwDuMAV+o7phQ6Zv4HR1eAbSiY4PXOwzaDP5Zyqv+QKCjlvqN5WfxJz18o/pZdbvlpyvGA18/8mWHo33iZ6vstoCXHZdfnt7yG2di/5E/fcWXt/g3eDV4vXS1ZdL/8u9/+VIdajL18xo+flJjrvSzGunjGlDk/gylJCQh5aeKXq2TJDTny1qflwXExJV2AfS+lWjHMRDzbK/2T8Vcfr5FjNW4G/ltuSez+peM/EjnWj54bI0vAHzL3sqXT6ueo24NXg1eL0u8kqzjijEoX3UvQdBHMlr6VLDK79u9SucpuRJAgGCq/dl1VvVL/kxbXfn7JeStyfHZdkWexL9VV4sLIB3b50o7nMjRB13u95Rk4lP7As0tO7svfvHFrl2931ybs7PWV92W4qDBq8Hrk0CugfPoayurrSvWR+pkUmalu0XOEUlli7wlWkn08x98/rIxHXUD9BLQWH/rXlzsGYtbfLe0+8Fdu50KqmN/NCMYjDRT936Nfqp+qY6sPb6sPMXGl7/68ney2UaXuiCr9FPXeGwFa+BkUTXFb6luKQ4avBq8NgfUUrBtabMS2zJptvDeQysJ7dFHkt0zMffoeKsPXc70a+ZW+nsWKJKd+Lhl76Pa8zyT/kt62LWg2aKHGNt6TIc/wAA0fLNFXmjJ/fbvffuTvmLezjg0t0qy/Tr1LbqxXQxs9RMeS3HQ4NXgtTkQx8Dcc28i7Vl97pG1ts9SklriwZYtCWCJ171tkuKeJHGv3Ln+excE+G3dEczpsKe+7iyWdjvG3fhvkbG0m7jFx7H23mdfdm4VvBwV+mwZI7L3LI7oXY9Ab9lZ28XBVN8GrwavTROvBtU913Yqe8HiHrlzfU2Oe56/SQqSwxz/Z9R7Q4see1fmj9BxKfHfkic+9iTKW3y3tAOxObCwSKhgsJavONv7ZiKwuedYWF8LHH4V86591saMf2Tec5x7z1zXd2r33uDV4PWShCsgrfjmJvzW1ewcn7X1EtHUBFnbX1LY0t+zhr0JbE6nrKzrrqHSrk1Qtc8912xcGuNbvPW9J+nd4r+m3ZjO+dMCbA+QAIs1sqdovH0HMJeew031S51+4zOvtXGoL9m1f/gulebyvXEw1b/Bq8Fr90RaCtilNsnAJJh7TiQJ71ndLcm81WYles/O6RYYj/LJOxpMJNq5nYDEc0/SHPVfc+918C2APvIUH+yZA4+R/uh747M0RsZ8K7gah6lEvFb3LFDuidW1ska6yF7yydjH/b0Lw7lFQoNXg9cieEkcgg+YCNq6StNmJait1ieA0zYGu3tJaer1XBPE0YSjmtrPNTl0qbLokP8Ts8Kb0yU6zZVTSQhvySZ9yFWX+1o6HpviUWlc689u9rOl7jDZHhtHuUlWfKrflB5eHpj6fjoyoh8/hrcyYxsfRl99fMhBM7aHbqk0htW+0I7jV+9DowTw/FTjoLaP1/GfncEol/58O7VrQKuNb8MTLy8mSJzAZkoHum09as74RU7KMbZG/UNHD3K9GZu6Z5V8RHbiZ61c/puyp4676zm+iYNRXoPXx0kyOqXvf+sTiUtCdjYusOokNrklJzQm5Gff+ex3E1wgolXqK+DrcwOJRJ3JMPra5HQUU8FLshfAaMnKg/w8p6KjFT6Zrrce5dBz3JXQEa/U4w8YoseotyQ3BRwjHVnAgP3KTGpJMLsUNuLFt/EH2/JPrOx3P/LGg85jPRlpw89YqkNLH3K0Z4zYToZ7cnzoG/1G/nP3eNY2crObIj/PXMROpct1kiV9UjdX0jX6iZfYwjZjRjZbxUYdQ/rwN77GOuM9Jyf1+PGJMUndmpJselRausbf9OVv98aq0uWa3KmFX9ofVWbRtZX/GJPs4mc24mUeGJe5txgTB3xeZTd4fXRedchbvjYpBNLcJ5M4PhBk3qYyodRJNplQ4yQXfElW5FReJmyd5AnGudUj/Sqw2TUI8Ohl8qZdKdEnISSpRM/0WSrpOpUM2C2xkhGQmePDPnrNtdd6uqGtOo7Jqrbjzd8Zh4Bf5ek64zrWu5ek68sTeNR7Nuqfvq7HJF/bQzdX0jXxMNLQBe8pn1daOtWxrm3jNd1qjOiLBqBV8HOPp3hxLVbDC131SeqnyowhW6ba5+rGeRM6i0FziE4Z57SNJf3rfBrbH3W/JcajQxZOua+lMRvHp7bnOnFQ54u2/H0rF+nQ5fsBtbmxNolMKEFWj1sEJFCzYpSA8knC0DYGWpWRYAx9bXNN3lSbCU5WTWjo0Fce2qfko61Alz4SKd65r6VkllV8rR+vJTFya72JyX+1znUS35SO1ca0412TlbEYZeHLD6MvIlv/qcQM7PlFUq19Xdcx4PfaHr5AQF+2pk5J97Eu7QHfLDhSP5bks3Nc5CTJV/rsXkaZbGb7GKvRe83YVjm5zhjWcUkbn4qpCoxpm6pLmwVMBdrUjyWfjKCJ7xLvkcee+6kYD5+ArwVu6pTGYxyTtPPRHJiHRpk4yHxIWzCrweujk+KULr/2hWA0KUwYiSC7r6UjMrRzYFCDcUxK8fuYOMk0cQKg+CexKsekqn0MdEnBDguwjjsCxxVzq13JbU2Ck8TIjQ1KSXqUpT6Jr+romp+rjWnHuyZJvh1l4csPoy+iD/+NxzJZdEjkxqL2dR0f4zEFXpJ0eEi8NXFJWHMxgI7+a8Gr6kEXPq27rNhIJj2AW0CAHbkOXUptEmjut5QZwzou6U+PAHSVzR9ziVxfibyeWITfWPLdKHcqTvHiu3s+dQzJnIo7i1n28qdPnUtsqjyqLfRr8Po48NUpfT3tD8kxATZVjhOnBqGEo49gS/JJco2/cw8gxqRQJ7HJZBKMSSl8yKltNRmhqX3RoU/ftEeXWu9avaPA2MrGMamnjzYTdmr3FJqUS6vS0KSkAxuiIxCQdGsyr+1412R1xM5LEq3AOvpxHIMp8Io9SnFRE9HSLiBAObd4CV868cMtOvSJVSW79BOndBpjkb/TJlbTFx+J2Cc6zJUZwzouIy1AscgjTxsfzvHGj95Lfgt/ti3JDd3R5a0YZ5u5lcUev849z6SbGGRL9f+UzomDzJfQ9M7roxPjjC4/9YVgqasmQZSjJwm/HnOgzapSshC0ASxtCWg+Vr+UlCROvCQYEx9tVtq1r/Yx6eKPfgz0OraSCN3xxrfqVum0ZQIClgBepcm1ib20Gw2dkm505FsTPvfRWX1sYKNEhX94pD33KSW/EcjTpn/ayHSfsWRjFjbk6bMVvPQz5nyr/1wSJpv+AU/9Ynd0TZmklThK/VSZ2NMWf5JlDPky7cYxYJY2vuADbdXPU3JSl7hcosfTwid+nvMJOvrRVwy5X7KZPfFz9HlGSSbZS7LiU2PAhjmbtRl7vnHtE5Af+ScOxvYGr4/BPjqr73/rEwFoMglI15KjxMM/Ak+CE8w+VrgmnTal+7QJ0Bp4SS5JIqO/A34JfPd4kQdArJbp5RoNIMpxmzq0JlqVOcrAKytdE6e246eNnurJQB/bK22ul4AjNCn5hw3kJAlZDFQbtZFJN6UkyB6f+GMEU4l0bqWbpIKPJMk2tPSgu+RJPiBnp3p2kyepG0M6xSexpZZJMnZKsSvt5JNdQQS/uYWDfkmWSzLDn4/4Ba2y8o2/2EdmHUd0/KBNTK2RFZn6zO3aQ4MfOrYkntNmHPiZfqnjI3SZS6lPaSzwW7MbTZ+jSjLJpvcST3HIDnYZ90orjuSGxK54QDvOwdoncVDrXOevn3l9dMbonPd+nwkEGHymwMDknJvw6ucC3SRYWrXWBGMc3Ju4rgFnrveOUZIKPWJneI382a0u7VOl5Dkmpym61OE5+o2PYxe/Tfk7/afKJJepNnXkhb971wF996PP5/gs1UtOfFr5hn60dy42Qi8+psYn7bXkK/yqD2t72qZ8Ovqh9lu6ZqtxX6LRBiDZEeCu9KNP6DLGY6U3RnP+rXSPuKYr2aPOoyw+tkhAO/qbfeNcuhUHTh4A3CinwetjcI1O6fvH+8Qq14r/lb6WVKwCj9BBEht3G0fw3cLD6nUqYWzhcS+t5MQXSwl4rYy5pLW2/6Pp6CeO18gRZ7eS/ho+AS9+XkO/RCNe7JazC1qi1UbmWuC04zpqblnETOWKBq8Gr7snwa2gn2p3pLBm1TrV94x1JvXS0cczdAYY9DgiST5D31syxAeAuEX3qvYsFp4p3wJpLWDe0ivxsiVu7YAA3i3eR7bPLQwbvBq8nhqICWpHBRJt7q9cssUxyRlssNp9dnJ5lN18enYg9szqmToa3/qM7B7fA62tceu04tkLCs8kp44WG7wavF6WdK2ojnjOcs8EPqKvI5Kl53dHyFjLA3Btefa2lu+z6SSrK+zMjfvUs6xH+UsiPwos9wAR2VPPnx5l71IcNHg1eL0MvCTaVz8nOmLSAYupF0g7z98AAB/LSURBVBSO4L2Vhwfkz0wuW/VbSw8QngkKa/Ua6STzo57tjLzHewu9ewE9c06ZxWMWPHmO5hkYm3I/6qHfXNtIe+/9Uhw0eDV4vQy8nLnfetX43uB/dH82PCt5rbXFsdKW5xhr+T6TzgP68U21Z8rfImsp0W/hc4vWuO5dJHnDzyIrx292XY48yQTA5qGFJOACGHaUcwDlpOFZC4ulOGjwavB6GXiZOCbL+L8gtybxmdpN4qOOcY6yC6B6jVt5FM9n8gG8V4oJgAAMHukj4LNXhkWA3VKAi57ith4v8zmatX7X99HxRZclfRq8GrweOunWTOi9k3IN70fSSCiOXB4pYy9vq+ZX/CPrXn1rvyvGgyRbwaHac8S1XdFesJh6LmdxU1+RB3Be3lgrQ3wd9eLIlH/wv/VIocGrweuUyXcqoLvuNz1WPV83xQAw8pJHPYK1y/KmbwUqCzGv4FdAO/t8a/DqybBpMpw9oFu/BriOga9jwJF2/ZcUIObIz86r+ikvcmQ3Nfe8q/Z59XWDV4PXJ0H86oBs+V8nnvZF++LeGLCjAl5KgORINh/PvezCvMUI5Opzryv8C0uDV4NXg1fHQMfAG44Bz468jAGsHBV6Pmf3VcEqIOntPvW5P3PZ4PWGg/bMgde69a6iY6Bj4J4YaPBq8LrEKuueIO++nSQ7Bt5eDDR4NXg1eHUMdAx0DFwuBhq8OmgvF7S9in57q+ge0x7TrTHQ4NXg1eDVMdAx0DFwuRho8OqgvVzQbl2hNX2v6jsG3l4MNHg1eDV4dQx0DHQMXC4GGrw6aC8XtL2Kfnur6B7THtOtMdDg1eDV4NUx0DHQMXC5GGjw6qC9XNBuXaE1fa/qOwbWx4DvP/Rdh75S6sx+a/Bq8Dp1gJ558rRu6xNi++oavvKdhr601/chnu136sYYavBq8Grw6hjoGOgY+F0M+LXmBq8OiN8FxLhq6PtrrER7nHqc3lsM2H01eDV4NXitiIGln/o+c+LwTOCsPx3hucWVfliwjvMV40EcPPI3sJ7pk955rUhaNWD7+n2ucE16D4fPMv50ufWpicSP99VfqT2DHX72wk9enEUvIHrLp9p//U+//ioO/HTH2Z+31HHO72TVulvX7Fvjk/w8ibLG3S3+97T3zqvB6zQJ+Z5AfmRfSdbvBz1SxhbedlL0kViWPkmyeLsGFFvkPJrW7zcl6T1a1hr+n//g80V/xtcBW3Ex/tLvGjmvotmzUPj5n//8KzCK7XNlfePvJ3/yk4fu7uK/3nk1eJ0qoSUwz1RaSfpV17PoRB+r4a36PCuprNULWKylfTSdXckeIDoDANP91rGwxYvx3+rH7//h9zf3sSABeltlbaXvnVeD18ODbGtQno3epL+VHJ6ps8RQd1VrZUu0ZwFhR3Rn2gnSxzHgWl+GTqLeAwrpf28JuIyrY+Elfxr3L37xxSb77Kb22EYnL1LU3di9dk71751Xg9emgJ4Kordcl4l4Jht/9OMf7RozRz57VtKPsN2x557d4yN0wVPy37Mg0FeiFieP0m2Jb5W7tJM17sZ/idfYZoe/FfDCwy4WqOb+EWXvvBq8HhpgjwjaZ/K0Yv3hH/3wND6SrO55/ibR7k3SR/nds6LPvvPZ5mR6lPwpPnt2GOEjPvbs2tL/qBIAT/FKkp9qW6qzk6vguEQ7tgGuvYuskdfcvcWPeD7726r9T8oNspMTcy6wj6qXmJbA4tFHI6Mde4+3wscKfEuiBTR7E1hkjmWSaV58GNufDa5sXDpyG/Ub78XHqxc4EvlcLAK1PTvupbgffTDe27UBFr4d2464Z2t9eWQulo6QdS+PBq8Gr4dMgluBaQL+9Gc/nZRt8jz76Esi2nr8U22UZLc8TLeCvkdelZ1rR1H8mvtaSnb3JM3Ka+01ML1nHPlzzp61OtxDB+w9/5nj4QhvK7gCgy1xMsrOAuXo2BnlXOG+wavBa3ZyJoBN4kyWccWXlVpoa5m2cfWGl6Q09ZIDWklhTHrk6je1e8jKODRVh7XX9xxvkSGJrT3O8TLCd3//u7/zaXRk+y0b2TrlAzwsBvANv5T8om3qrb+M7ThG+mRniCbX4bmmBNBzuq7pH/BK7N3qQ0e0dPep9GmbsgOtfokj/VzbNYrDuf87E8Nb48bY2z1V3bZcB7zG+bGFx1uhbfBq8FqcSFbrjtRMGsk5icTklpzUAyEPtTP5JQN1Jqq+EmqdsEsTEJ2jmCQOEw0P92RHlmSbBAM4yJKcv/cH39ucUOg7JqHYm2Mv/PGeAlw6SrRLD/aTMOiMR8Cbbdr4Eo/YGKBxn12dfq7TNzxT0lV77lPGN/ST9AJGbNbGVv0yRrFV0sZTPzKja/jeKuO70BkzNvIjEInf3YemlnQll361fuqa7tk9k1vHiR1s8hFbNfG7DjjxQfoF7PjfZ5RJd7rNnR6M9LnHfwRQdXxAD3TsmFrchAe5oU3deywbvD4Gy3sZ+CQ3k3TqMyYnk7ae6deJDNTqah2dxMSXJmNNEBJxkrH2JKVKU8eAbrVtvDd5064kO8c7ErP2LSt+SQ14VB1cAxpJJImPvdXmSi+JkVvr5q75EW1Niu5jg361nV8tHLI4kLimdlgZ0ym5486L39CHdrzXJl4kaTSAbu3OMjxH8Eo9Xmzgc/znxopO/LDmzTz6Gicy8ExyB2oBZW1keqkFjXivcUnOlF+jdy0zhlvBa84nbKWL0jjP+YQOfLJVbtX9rVw3eH0MhrcymEfbYYVoMkueSdpK9VaKEkE+ElImFDCpiXnU61ZSkojQpJ+JLNmQLSmZvGlX1iSsT0384aGU3EbQVQ9sK3DUPnhbCde6qWs+Ire2kRdAr/VJfNVHua42po5fK5/sXCtP13QdfREaPGqiJicJkhzjV/u6jo/xMM61PXyNC/8EOFKPZwAkdSkDErEv9WNJfh3rtPPFKA8o2CGGJ/vQswt94jR+YLs+6sN3S0kO3RLzY1+2T9k/B17641eBduSZe3Q1HtTPyUuft1g2eH0c+Lc4sEfZJFFKClarkpRkZeKqm5NhciWJTNHMJaXQjomTTElGP9f4ZzWubkyqU/IlBSAFjJWRpZTg8K11uUa7JsFJYuSmn1K/unNNWxJf9ZEFAf9WG9MuUdUkCWhHWXjzw+iLyMRj3DkBADKN8ejHcQzYMvLmM3pJyOysPuTvueM+Owv6B2Ci41jSCV3GOu1kjWNCNj3QKwPMdJ7TQ9vIJzJulRnDOi7pI2b4VaxFD22upwAt/cThCMppqyUbR7kWZT6Vzs6SD5/9GU9wqk5HXjd4fQyqIx16Zl4mtQk791kKOslI0khiMIHGs/scawG6MSkkEfPPXFKK7+iHJvcmdV2Rkp12JfrQKrVXebUNn7Ed/0pTr9lbdyy1rV4DB3xr3dx1El90lHj5Nvf6VR0lqpqsJOMpWRnXKbn6VzvGI7PRj+MYTIFX5NDfYqbqOO4MQqs0BujrmNb2XNOJnRnr1C+VAILugEN8AuwxFumrjT/GRZj6CjhzsjKG1eaRFpjU2ARcc7yjD9Ab+Yz3fLIkd6R/q/cNXh8n01sd3HvtMkHrZDP5MhlNep8AloSQVaWE71gxbVbYdbcjcZqA44o6+iZx4qkv2qxIs2qX0LTjEZ3SH30FgtSnlFjprj++VbfQKOkZeWjnVvBoJRMJs/afu07iU7Iv9xKYPpGpnly8KxjMgRcQHn0RHfQPeJGJZ12p84G+5OmTMUj/tOd+LGNDAKnqW2nJ5ldJWpyQp2+lyXXAC33q5srI1R7/4CsmLabq2KkjVylWErf6rgEPdBmjJRAxnmIivkip//jhXzvqgGnVd6Sl81zMjrRH3Zsn9PdJPE6Vc2N5lB6VT4PXRCBVB73na4Eo4QXAJJskCZPLxJQYJLoKZCa2nYT2tIUHf+K7NAHJyS4PvaQMDNVbRYevpGYSa5MU0SapLCU8iQt/fU3GAKP+PmzWlnryfZZ40o2t4bFUJqmhJyf6VBv5lUwJLfLDM0mdralTsoVval2uk6gBlrFjizHAm+76kil582X8k/4ZE7qmbizZgge/jbsdMjN++okH9i6BRXRekxCNWWJTP3aRQ19tbOVvdmUnpw2dNvHrszTGo73x31hf7+Nn5Qh0xo/8xIB+fIIuC5nKyzWdyZ1b+I30R93Ts87ho/jew6fB62NA3OPAt9zXBJI8JSKfMYlIchKFT8Aj/kibRDG2ZQKOkzl9yTWhM4HRkxEwkQhcRz86+ugvSeZ+lBv+SolOEpDsRzo6RxZak/ZWUpMY606mypq6pmP1W2yOXPrxt0/soUe1ma2VN35sqnW5Hn2onizjimfGC13kKbWRG7+OMRD+Sn2BA5/qW9vwqfZqY+Po+9oHoLJH31o/dU0/48ae+LDSpW1K//hha3I25j5VztS1uOAT9tf2+Lzax45xUVL7aOeTKRsr3dHXc4uio+Vs4dfg9XESbXFY0x7jr+wyXulPq8k1yWeNjvgA3DW0j6LJKh+IPErGLb7Awe7rCB0sbsTJLZmvareTzDHfkg4BdcCzRLemzaIAeC0B3Bo+W2jozdYtfZ5B2+DV4PWSoJSYjgKOeybK0sp/C18r01u7sy389tBawUtsU7uLPfz29jkCuMh23HfGpBm/ZPee+6XyqDize3s2oNvNsnXJvle0NXg1eL0kKK3mrNBfEfRHy7QKBhpHJe179LMgOGOi2WOTBcGzj8e26Gm8xfDW48YtMkZaYL4H0B2bWgzkhGBLrDqh2EI/6vyo+wavBq+XAYjnI8+c+I+aRHZcW553PUoPfK2Sl16CeKTsI3lbEIiPI3k+gpdxf+Ziwa5rK6B7uYOeAExsWGiN//O35BvgtdT+qrYGrwavlwWmRDs+xH7VRLhHroSwNaHcI2+pr6PDNc9hlnicoQ0giI8z6LKkg3HfsxNa4jnXZqG3B9DHxUwAbM3C0RH02H9Ov2fXN3g1eL0sQXgOcNZV3ZaJ6DjmTMcqkumrn3tt8d8ULRvWJNepvs+ue9b4A3O7p632jX4UG3ZfY/0UX7u2qWe59Q1JsV/vp/g8oq7Bq8Fr82Q4MhBNyCPewjpSpy287BCmJvcWHkfTOnKTUI/m+yx+kuqr39zcYqvd16NPEADEUTs8+q7dnTturC+bAKn8C4NxEmsWoK94ft3g1eD18iQ39/9eWxLIK2hN5LMmWavrRyfUR/lccnwU70fxtQh75O5DnFUQuccOILh2wTW3CDJnHSe+8mi3wavB6+WJ4kxHbluSwtn1Prt+c75uvX/zjTl5lE/susZnWE4P7MTGhZid1UibMQN+jh6PAtTw3VI2eDV4fWOibAmgpv1mommftE/OGAOAZgqMgJfP+Bxs7nkX2+wyR/pn29zg1eDV4NUx0DHwxmPAsynAtbSD8+yqvkDleFG/KVACbP5n7JVH0w1ebzxopwKv63pn0DHwfmIAAAEiz0HzcXxot1XjAJ1/DM9zrLnnXY4TvWQFuLzQoR++ldczrhu8GryeHnTPCOyW8X6Sc4/1/Fg7KvS/YY74xg8AG33nVXx0yvHtxjwby27L0aF/mh6flY08H3Xf4NXg9Y0AflSwNd/5JNO+ad+cJQaAFgAbd2b0s+uqes4dK1aaR103eDV4fRKMjwq05tvJuWPgGjFgt+bIcASqs41fg1eDV4NXx0DHQMfA5WKgwauD9nJBe7YVYOtzjR1Fj9PbGqcGrwavBq+OgY6BjoHLxUCDVwft5YK2V9BvawXd49njuScGGrwavBq8OgY6BjoGLhcDDV4dtJcL2j2rtO7Tq/uOgbcVAw1eDV4NXh0DHQMdA5eLgQavDtpTBK3vXHvkT0o8ctX9yn/UvGXXmXWb093/GS19B99cv2fV042Oj5J3xTF7lC+W+DZ4NXg9bBIuBd7Y5ktDH5kQRnlH3p/196d8jc/Z/9F0ahzEwdS3n0/RvqLu1hfc3quTr2Z6xXcF3qv3s/s3eDV4vRy8/DbQ1FfRPHsyRB4w8o3Ztz7ZHfiS0nyZaXi8upT8XvWdc1O2+8qhW/7UnqQNeKe+e2+K9zPr9sQqm9bYXsdr/AXjZ9p4FVkNXg1eLwUvAPCjH//opTrUyUof36xd69Zc+ymJsxx7ssGPC55FH/6rP7Wxxp9smPtW8zX9H0GzN1bt1LYuztCfeff5CP9u5dng1eC1OVFvDbIlepO0rjiXaJ/RZrU/fpv2GrlnSjZ02WPDGjv30PDpnjGWvPMN5nvkbunjqM5uZ0ne3li1kNjzHMsi6orHvlv8fg9tg1eD10vBy4r8TMdDkqwktXVSeU7j5yG29nsEPZ/useERuuDpGPbLX3252Tfi4hk+tUMNuNjt5ehy9MeeWMUXeI281tzz2x7QX8P7LdA0eDV47ZpYRwS/Yxg/vXCm4y3Ja++LIxLtq4E4Pk0yPmKc7uXh96TotZWPuBAfnilu7buXHmBM+U5M7IlViwg89+ij717g2yPvan0avBq8dk2sIwLdw28J4QheR/HwYH0vL31/+rOf7u6/V27tdzafAoJ7fCo+nvkyzNxOJz/SWH295trR594Fjd0q+/cuptbod2WaBq8Gr5clW4liKbHNHd88asJZ4e9dJdNJ3y3HXI+w72w+BaZLz5FujaWd8NaXPW7xnGsHUHNAkbcl5/rO1S/F91yfWg+8+LDW9fVvvymkwavB62UTQ1Kam9weVN8DJHsmuBX+PYnCrkuymTp2mtLnEW/TLfkUWD7bp3Ye97x0wEd73v6c8vdSnd1Rxm1qUWFRMherc3wde94LvOJpbjc4J/e91Dd4NXjdBC/PK6xKfb74xRefHINok/Alfivs+mzDtXN7/UzAcVUrGUwlU/w8J/EKvb5JfpKKe3LIiyxJwr3kk93THhCSaMbnb2RXXuN9TRR0kGymkl+l0y4po2VPnumwh23xV5KpvvyIjnyAwJ+xv/Ke8ym+QCA+zVjgGX+SG17RpfrU2Kd9bTmVvNnPnvCgQ3yQupRZEOQ+ZeKK7pUXvY2Xej4ax1Nb/BsfsFEckqWcGj9jtfVImCwxEZ2VZKnP2NGB/rmvtK7Ng61yRx5v9b7B62OAvNXBPcouEzqJS/KsgOM6E0/irKtTCToJYurY5bPvfDY7MfGtk1ZCqQ+v046/66xQ9SHLfU3+a3xRdUcv8QEKvMhn+9JOQFJEW5PpnNw8z0g7O4BL3srj7+hjV6CNLmyTEN1PrciXfEp3vopM+kaGOtcBMMm/+jR+2PL8hk30jTwlP2Z8+BM/culW6XLNRnqgTR0d6eM+Y5I29iUeXdeYISPARIdqe/pPleKIDtV3U3RjHR0znmnL2Blf/gHuxjJ6hS7lkm9C817LBq+PE+C9Dv5au00gySz0Vo6uJZ66skzCU5+Vb/qoGxPUUkIAQjVZAIT6z8w18Zr4eFXQcMxTdYseSsktCS71kuCYaNNGD4lojl/o6ESPAEDqp0o7DbRpI999kvTYbgySsPWhy1TyxaP6LfyV/F8XBPjVnZF+tS9e1af+D6q2V97jDkdb4qDS5ZougOmWr9hJj5rc2VB9kYUVn9Uxig+jRx3fqXiMbmOZ+Kq+G2kA0VjHxjHO0CR26T3VXvkY46lxrjTv9brB62MwvdfBX2t3krLJn+Sqr8SnTnv9oNGWpDInR1KaSwjqp9okJLLIzaROcqkJTltNZHSQYICq1fjIW31N1FVnYE3XqQRd6eKnareEX1f/oR93Xqmno/7ZcaSePfjn3nXsT51yyacjeKUfn5JpcVDBaQo0Rr/Rl652D6O/3dd4iTwl/R2J1bqpazxGPehrhznGI0Cr8cgmchKP9JyScasu8TXarh9d+NUYVyByXRdbVUZ2cgC01k9dG+OpcZ6ifW91DV4fA/C9Dfoee01giUEiyao3q+cpfibcmMxGOrxqsqzt6muykAzIz4SvyTvJ5RZ44SHZhj68yAUyc8eMSTaVf9U113RikzJ1ABEw5j6lpIc290p0fEvP6Jh2/qx8q/2hUS75dAQvdllkxA/8XX2OV7V5HBPy6ArUAfx4/GW8qm71GqAAIP1r/Xg9BV5o9E88KvGh+xxA8V+1bZSzdJ+xmIpVPiQbEFfZxrfej/ydDNTxHNtzT2+f3Hf5db5u8Po4ETogln0g4cdH2YVIHpLBuOJEa+JO7TjUV4CQHOcSivqaLCSCmgxr8k5yqYnWhF8CT/yq7ksJAqhI8kv8+IdObKo7r/htLMedV/yaZB6b0o9+NdlV+0OjXPLpCF5sykJE3xGcRvAax6TKdW3MJeXsUOt4jbTk2pkEOMf23E+BV/ijid8sEtDWMdXOn4lH4FpjWb04jqy5MmMxF6v6sYO/8oxLfM3ZRlf289eczNQb96XYDN17LBu8Pgbeexz4LTaPK0iT1KTPjkQSlBQkFQlLmcmc5Ji2KtekrABV29Qn+Uke7jOJySLTPT2SXJThoW0JbPCQzOiHR2Slf0o8fQJgaCW9tNcy4FX1qO31Gg9+pAf6sS+9tOtDJnvWgBe6OZ8CL3aSGZ7qyDA+Er8EHf3JzzUafJcSOB58Gh5TO058JG86sDFJXl9t4yfgVeun4hFPPOiceIwM9YnHtKmbG/MqK9f4LtmODr8AJL9mIRIeSjrRlV8Bfe4rTb02nrfkVvr3dN3gNTFh3lMArLE1CdGqMkdb6SehOv4xuU3cutpMAtbmWKUmQv1NcLzDq5YmuH7aJVp9ycFHkqCHdjKS4JQSBlq64F93epW/azskPMKvtpMvmScBS3aSzZg4ax9t+I12Vppc05OO7LF7wJ88NtI7O4pck01PdEm8+o+ylnwan6EhPz6mA2DiS/LRRX58GrAzHks+DU+6jiCPf+zhB+3s0id+GUt8+LTW09WuRX+6oglQGNPEo7ICPlvSNhWPVcZ4zddzsRpafkFHn5GW/7TVhYXxrrqHTy35p/apbe/9usHr4yR670Fwy36JQcKUKJUjvdWjtiSQ2m5Cjwk27VaU4yRPm9KErzzJUReaep26rWWS4xSvsW4paZPLnjHRLunDnpFn9eMof4lX2rb61HhGTsY5vPaWki2QGPtP8R/tH/tMgTE+ibmp/mlTjvwSx2P9rfspPab6ZEcNqMf2+Dn19KvxnfpaiqcKwLXtvV83eDV4fWOSPWtSWHFbjT5L3pQcySO7q6n2LXV2A5Lclj5H057Fp0u7qS025yhzS59H0IqRtbFq1zoC1R6dAO3anfwe/lfv0+DV4PWyZGuCm5y3Vp9XmWR2kWte1nikPfHp1K7jkXIfxVt8HAWE9+hoR/zsWLWLWwuY99h21b4NXg1eLwMvk8azB5P0qhOo6i25HbHirjz3XPNpffa4h8cZ+gQwpo4GX6Hfs2PVMzovmLzC1ivIbPBq8Hrp5PCSg0l6hcmypCMAPkui4dO38IZaXsZY8vsz254dq3byjiCfaeOVZDV4NXi9dHI43pr7JoIrTSSJ7SyJhk+9pXb141iLgTPsZBOHnkE9K1btNo1hZHf5zRfrGrwavF4+QST+Kx8dAok1/3D6zATkDbWjXkR5pt6RBbTO+Ir4s2KV7XNv6cZH771s8Grwejl42Slc+ZhLQjvTDiFJTQK86osbZ9XdQuXRoCqWxFTGsctv7rr4JH/fykU7atpR7ZfH+sXO66orzTO8DTcVn46ervjiBr3PvBOn2yMXK46fr37kOxWPR9cFsxq83sEOLP/570Hw1Ocsz2yODvLm99iFR/u3/fuKGGjwegegtTewHDnZDfWnfdAx8PoY6N3Yp4uEBq93BF6OOpaS0Ph8pMHr9Qlraby67X2NT4NXg9e7fRDqQbOvL5r7XPH5yN5dZff7NBG0P9ofV4uB3nm9o53X1YKz9X1MQvVP4RYy3vBcKh/5UkKP7WPG9j35tcGrwevd7kTf00Svtr76y4OrLn3dILY3Bhq8GrwavN5RDHiOebZ/qN6bvLrf+wa+Bq93lLh6sr/vyW78/TvElb95o2O4Yzgx0ODV4NU7r3cUA34k0VuKSQBdNhhcNQYavN5R4rpqkLbeXydY3z7hn839zpNfK771M/Kj787yzfejXn3/9Ri3L9b5osGrwatX4ReKAc+rfOmu3ZO3Bv2G2NpnWJ53NXitS4wNIOf3U4PXhRJXT6jzT6hHjpGf5Bi/wssxIABbI9d3ML6F305bY2vTvP250uDV4LUq8XUyOGcysAvzC79rxscRY/3CW2Cof/0Gcy9z1Ps1fJvmnLHx1selwavBa1Xie+sT4ar22XmtBRvPyaqd2cmpB2qAC7+1x5CVV183gD07Bhq8Grw+SWjPDsCWtz/p+a47vw4wficlUBrrfFvG3PMu4GdX1l8Ptn8sOo6f77sGrwavBq+LxoBdUj0GBGaAyM/Hj9+iYVfliHAqyX75qy8/fP6Dzyfbpui77vmJun3+TZ83eF00cXUwfzOY35NPvHxRgSu223F5qcNLHPXlDEeBdmShq6VdmaPDcbdWafr6fcfbGce/wavBazKhnTFYW6ffJlA7qPGIbwQeYOX/wPIzGuNOrPrSrkz7+CZjpenrBq+zxUCDV4NXg9eFYuCLX3zx1bMrJRDL24J2YjW5ADNvIfrm+Pxj89gO2ICgnZfjRh985nZotX9fN5i9OgYavC6UuF4dLC3/tQnLPyZ7QWPqkx1WHSPA5PjQyxgjuAEqz7myg8vR4dRRZOXZ16+Ngfb/1/5v8Grw+mTF3pPj68nxFnzh97oAmN3XW7CnbXhb8XnPeDZ4NXh1UnvDMWBH5ojxniTRfRswzhgDDV5vOHGdMeBap06EHQMdA0fEQINXg1evyjsGOgY6Bi4XAw1eHbSXC9ojVm3No1f/HQPXjoFvgFcqumwPtAfaA+2B9sDZPfCtsyvY+rUH2gPtgfZAe2D0wP8H2K7dMBLeK5gAAAAASUVORK5CYII=)
Question - 5 : - Differentiatethe functions with respect to x.![](data:image/png;base64,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)
Answer - 5 : - The given function is
,where g (x) = sin (ax + b) and
h (x) =cos (cx + d)
∴ g is a composite functionof two functions, u and v.
![](data:image/png;base64,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)
Therefore, by chain rule, we obtain
![](data:image/png;base64,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)
∴h is a composite function of twofunctions, p and q.
Put y = p (x)= cx + d
![](data:image/png;base64,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)
Therefore, by chain rule, we obtain
![](data:image/png;base64,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)
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/8/28mQM8B0LkO51sHsZ8nP2I813OtzrdWc02W12SV/D7iODvCK/7Hx4/MeY5dBtorfeNRe/8vMqMnGK+06Wq6xG73oXsb3zoXp7+tjXDtP6/PESNzHX4Z7vvynVx9xClOex6HeNR5z7u+j+ieY2dQBQM5jdR3xj1pp+8sx7jJ6a76MH6Nz7zamP+5fOy/+GiW5/VPOO8h5CfB+I/pMyDOu+CfIRjP8rj9Cj935oS397Gl9/y17xXm9xnwPud4X759KPnNRbhvEabfHuu3o8nPicjjwKucNtm654cjKvkhvhDnfL3xWPzOfPAaf07yW/hLFBOArwHgM/x8NPmt/QmeZ8z3FpmIyiuJ+nTGj1Hs8VnIL6818tOF9TR4iy2z73Vj7B3WbpLfJL9vfIHhHUC9J5E/a57elf3wBz88tU/90Hw/rfkyy9YPFIf8nuW7KXeS4SsxMMlvkt+pE/U9wXAk+XmE6M9/3WP3K8YgZ///tutChv5f79qj2kl+k5w6bq58P8lvkt+3EuGVAc32o8jPuz4E8oovgiCie9bJt7FH5IwUt2yf5DfJ7x7MnXXMJL9Jfncl0bMCml1b5Od0471XiMA3lBGXsb744V1W2uovmOjj0aD3ZQgOidT3XcYiEGOX/KO/sT4Zm/dwuVd6DOld3JIcepbaej359Cn9fU3XvY97MkfEmL6T/Cb5BQvvUE7ym+Q3TIRXBvcW+Xnn5aRjjohG0vef4H2Ro/4VEmTnPu/C9Mm1scguhOUeqZBV6+JHsjwSzX+2R0Q5vemPgBETGxCu+9gYGbXcQ37RGXti39KjTX7jm6qnXk/ym+RX8XD160l+k/wWk91Vwb1Gfr/4y19862SIHHKqCyFl7sgO0TiFISzX9eRkXPoirCXyc9Ks43LyzNg8dlSfurVyD/lVsiXLiXTtyzjmviZ3kt8kvzVMXq1tkt8kv13J9krAXiM/5LLUrr6TH8KohIbAnAa//73vf0Gk1S8eVda+aUNs9USZ+l7Sj2B7vfvYrY8PPblWdtIkp5/iPNKsJ9euZ5LfJLeOiXe+n+Q3yW+YbK8MemSwZH8e/dUTm74eBUr+nTBCfvVRoVMgsvnqu199g6yWTn5krNlEP3vod1pbsr3Wr53Q9KOvnjSdbo3xWLXKqdeT/Cb5VTy8+/Ukv0l+i8nwquBfI5qQQP0iCzJDUOoQRH3XhkCQAl/k3Vn8ggCd9nIfYh316zbpU7/QQn8eq5JXyTbya7lFftrJNIYeJz6n1SqjX5vn1mPRPrcuY95PAr0KBib5TfJbTYhXAXK1sxNNbXOdx5O+YOKkJek7eSEJJ7+cvtT9+Cc//pqIQpCRhyzro0/XlXTSD2Go92UX1+T4c2GuEah6X56h3+PRrS+7kLtFfpkHQkV8dJgv3UvESrc+sbuX/DTJb5Jbx8VV7yf5TfJbTHZXBfUW+ZkX0pHMEUM9gbnOty31qafA/DcI5KhPfz+XL63Ux43xob70GRsC8QgS2eQ+dnW5kVFLttX7fk0m2bHFPd11rn0MQl2TO8lvEl/HzJXvJ/lN8ltNolcE9x7ye9a8QnDPkv8sucgR+VUi7rom+U3y65i48v0kv0l+k/weiAHk4fHh1ZKCE9/aI0/zmeQ3ye9quF6zd5LfAxPfmqNn2+sSx5EnP+vsnWK+bHKVdUdsS+8CM4dJfq/DcHw+y+f5fJLfJL/LnVK2EsLR5Oe9GqKo7wu3bD6yHVHvIetJfs9LxEeu/2fVPclvkt8kvydgAAHmyyZnTi6+xLPnCzbmMMlvkt+ZsXyrbZP8npD4bl2E2f+xScXJT1L33wlSbj3Sm2vwzTXgr/guJb+ufSFm+vCbPpz+OLc/JvlN8nu7k58vb/i/cvl4B5cflJ4JaV9CchqM/2o5NxH7/Ddxdn4/TfKb5Pd25DcTz/kTz1yjuUZHY2CS3yS/SX4TAxMDEwOfDgOT/CboPx3oj95xTv3z1DMxcDwGJvlN8pvkNzEwMTAx8OkwMMlvgv7TgX7uuo/fdc81mGtwNAYm+U3ym+Q3MTAxMDHw6TAwyW+C/tOB/ugd59Q/Tz0TA8djYJLfg8jv7P//ae0veM9APD4Qj14Df7vw7D/Hxj52Hu2rqf894mWS3wPIz3+qPju5SBr+s/fa33ObQf0eQX3rOsLu2t/xu1XeM/v7+4tn32g+c/5T9uNidJLfB8nP7zde5ddD/DSV32ecAfS4ALq6L52m/GzZVU5U+dHwq/t92n98DE7y+wD5SRw/+q0fnYZM8mPKbFpKZv5m28//7OensXkmgY8lAacgfz/w3pObv+5+1s2bubGv/51Bp7+f/fHPJoY/kLtm3P0y3PflO7maTtmfjASlQDyTz/xpmp4sqn1+pFiyXCLH2nde78fCUb6yjjBoXW+1wePOs//h3dFmzRMMf3X+7K8abl2P9Leme//SRsbM8vZYDedN8rtxF+XUJwDPtmv+6e/9dPNP6bB7BtftwfJuCcbp6eyPwZHz6D01DN972j3zOorL73/v+7/OLWe28x1s+xTkZ6foRPSLv/zFt3bHdsza/PmbvqAIziNCgOztSE8AvupPvNDV7ev3koR+3dbezzues51Yu43z/tvkDIfBaj31wGC9d63OCQJOlzY6iM9fbHi2r+/9O4DmAKsj+8g8O3GP7N6qE8M2sHvifUvWbP92DFWfXJr8JALfYJTIXXs/UCfnun4hxSOU9AEywSMxuBZk9XEhUkxfQdgfD9ELoAiy68x9tU8Sijw7Vu/l8t6CjWStfYttTzDkkaY5sfeHP/jhN5Ji7DLvpaSSPrNcD5xX+wfeQnDwHuzAEmzAGpuU7vVHbPrW9mq3+rXTExyRQ1c2S3AMOyGeYE19lV2v9RVDtW7pmv10VftHfd+ZIKybtRnNe9Y9Li4vS36CQ+ABgx2uZJ+EEID0nWMCVTvCCRm5R2Jffferrx8ZAmD9Yoj+kasU0GsA7faRXe0jj80IS+IQ9OZRddTrNV3pRz5SdfIjC5lXQk8/c+tknrZZPi64HulLG5ngQxmyowM26j1ygu30t94hq9iESPu4tCmNj0x48igu7TBrrHiCY/hd27jtIb/gNTFNV3REby1hXfua3tr/Stdyh7ldyeYr2npJ8rNbzU6U0/O4T1DWRRDAgFTrci2ZVDJSbzeZIPeIFADJyI47Y5USzBJAJY1qn8DWtz6OVNcJsco3F3LyMT7Xyj7X2FR34Pw0OuHN4DonwdX179c2MTY21j6klj7BRu6teT3RjXAQAqsbvIzXv8YN/FdS0g+hjTZW2vSvWM1TjtSNXj/0d9U2ozZofa7VRvPee6LMuCuU8+T3mvi8HPkJCqCvjxuRyugkI0CR1wjwZHTy66QgQSBDsiupkLdGfsbssY++mqSqnZKNNjYqY2/qejLKBqDK0Hc0/xlcrwmuuhYfvba+1hIOYM99ZKpDLLnfQ35ipo/LeJuyrRMVfUvkh5CCU6WNJsylrtpKZ+Is+pX6/vgnP/56TrUt7ex/R/LreajPfd4/Jn4vR36CQnBXANg1jpK8OoFX+0oadqYIrY8RoHaptb+dJ50CrZ7cEKu62tc1kuwyRvZJLpJHn0uXl/uRrrRFb09G7BidEAWXBFfHz+vHBNSz/SjZI4WKG9iohLKH/Mjp49guNrawJiY82YChpZNZ9cPWY09x55MxbLCBFHep62ViUt/edvV7vthag6vP8Qz2X478AEMwxXnIBsF5lNIDwekIiIwRpE5jCSjBiwDrDhp55EQ1OunVugC0nvDYRH5NTLGP3Gpf3iFml721g90KBrZnbuygl43xUy2RcbWxtl3xGsFX355xDtZ/D1Es2V6xZ7518wIbnfzqUw3Xo/U2rvajmx/VV1zTV0+CdJkLEjavuikc2b9FftptyIylJ+/DxcTSur7z6eid5zbCx1F1lyM/gSc4kZeTW4JV4h8Finr98wm5CV4JAWkgQHIrWQCge0mAXAFaiTJ2dNLK4yT2GR/78vgS4WqLLPormS8Bgf1LberNJQnSHOlY6q9vnetSvyvUm2s2Eme2F476k4Zb7IWbkAwswZ/xwVfWG66cmmxwIt+1uk6+cBDSSV+lehtKscPmkBAMBtP6afd0oRJjlZPrLfLz3tH8yCOfPrpqnERWSjLZmft3KvlgK97fab5HzeVy5MdRkryTXoLZfd2pdmdKkJLFiBzT1klMXzte40Yv6OkD0BBO1UmmMSG42MdegV5tpbfeVzn1uttX23K9NJe0p5QIR3NK+ytLNo/WZY8Nxtk87On7ij7W1zrBzUgfkpbgR21bdYgPjjqO6csHjnKtREo+qet+RqKjjZd50BXcxjb3VUZkp32pNCaxutQHHmEh7ea5Fhcw3E+tGXv1cp78XvMK4pLkdxZwS7xXO0FJRHbZW8noVT5my70EZudfE+arbF7Sw7dsWiI4PjffJXJckvusevZ6fJpN2rP0PFou0rXxZP+jZR8tz5yceBGgDcFZ4vRovzxD/yS/X50k73WsIOxfbrlX1qvGCawz7ZgF+z3JF+lJgGung1f5tOph0xq52SzdS/ZVz6OuPdZ0ynqUvFfIcYIePa59he6p4/58eTbfTfL7APlZTLt8j4POtrAje5C1k8ne3aTHZWfdXUt+r9p4INg1QouvEbKTXe5HJaLZ+y3J0fhH12UDtxcTj9Z/qzx22jzcs2G6Vdfs/z5EN1rLSX4fJD9OtXu+QjCufYFgBA7EfsupAFmOSIJv8r6LDXWzoD73EptTKRIhx/so/Ue2Ib61/wdmDL2xx3VdI0k/cl2vnSDJ2PN4m+2+XBK9VV90keV0eJZ3ruyybkt+jt1nKeFla0PG76NHz+pH/6n/LHObdryWbCf5PYD8JO18E++sAJbgRsl4zd695JfkibQk9f6tRqfNkI0yiVZ/X1xIokKCiAGBuOZTJykJr9upX+T0NvdkGsc213m35d7JgVz+iA1rstix5zEbuXSR5do3JrvPkSzbM+eR7UfUIZS1DcARNnWd7Nsivozh37pmcAeH2Qyl3yxfSzhn8vdh5CfpAOPSpyfQMznts9gigWztlLOOeWxm3fraIZoqpyYw61+JADHU06YTV/9GIgJbIxDkU09WTmT01HVz3/vV9nqN/LZOfubPJv7IWKfTOpfU69fnhCQ7Uab/LO9L0Hxv3eCNvyvupk/v8+k7+e0w8rvHiZLk/DzWBzVZJ0lIFD5OLhJ47pV93ZzccqrrbbmXhCR8hIO4Uq/cIj+796435Df64o6dfSc6MvrJbkSI1a46Z/LMs9b1efBjt9O4veQX2dUGYyfe9+O9+i7X1h32lohv+ne/f0fxFj9fsTyM/OxyJZClzxJYr+jkq9js9FLXw64Z4GtdnYuEv/dLJ2RI8BJRJYQt8ls7+Y2CsROOOSGuSvLm4LGqE2lOrHVeruuc2etRbK3r49jS7bF5GG0MRic/9vh0O+b9/ScUvoc5BLh1cp9+vt/PV/XdYeSXLxHYlQNmL+3IrurUd7HbGtTHlX1e2pFNrbep6cRQ3yVJ8PWnubbIDy76F1voQCCdbGyY1COp2CTxdZJjH0JDivXxaMb0cs9jT/Oo75OQbX/8G7lsnMn4uck2TzGy+bDe3sN2bGZNZvnc9Tijfw8jvzM6Y69NZw+gR9mH3OoprftHW744og3Jjb6c4tRUxyKd3I/IrxLu6ORnLL39MSPSQyzISh9yjKcfGYUUY6M25Jj72NTLbNR6fe6RMXvqvXlV0k9bbKxzTNsZykdh55lz2bLRejh196dHNl5n2HRs2f9M3+2VfQUb985lqd8kv18lySXn9Hq7SIRwdmDEzm7/rffIbetk5HTjJJdvOo50eDSqH3lOazkhKZ3qtLGZLqSBkCQwyQtxIbkQV+TTp2/uU6pHrmSQqdTPeAlRu3r96R8lychKaax1z30v2RoSNUd9R8RnHJ0IuifmLvPV9zDN7vjm1fpv0cfOLf9Zk5HMI2M3Pj7ShpFPRnVXwcLI9r11k/x2kp9k1k8we518RLtuMo4AABidSURBVL+1x25H2PNonUgGiVwhkdS5Syoj0q59jriG7SXCPsKeNZ3W3IZoiwDXZLy6jW/ZvETKr7ZnSx8f2yhexd6t+YzaJ/ntJD/A7V+aGDn0iDqnCcmrP9Jh87t+iUJwetR41jVZwgHiQ9xL7UfUI2SfI3Rv6UQabPP0oCZij7bhe2v8Wdq9uz7ro24+9uTCU5C6mYTTK234b13rSX47yC+PqiowbnX0s/tLDp3o3O/9Nuaz7XuGfPNb+lLJM/R9VKaTivU4E44Qik0EjH90fs8ab51HRCdZ5/3us3Q/Qi4f50cWHiHvGTJsMJz0qmx213fote0drif57SA/CXYUfGcBgJ0bkCq7TerPnNi6vbfeW5v+PvBWGa/qb/d/Nlt92QdGXuWDe/R4ojE6mfLnFTY/fHzGR911LRDf6ImEvHcFH9e57L1+O/Kzu15KMOqXXujXcX1n7gsUo+Db6+S9/e4FmS+KLJ3w1Pf/ErDXniv0s1b5csuZ7bVGH92EwC4Md3yaN/z6jHxgU5Rx9dGhvpLeKzZ24mcpLkc21zrxN3q87TFi/ZZtHXPvdXw8Gs/+JR9nnLXp68PH/ZXESP5H62wGluzbks2Po82z2Krfzt6Sc6X2tyE/i26hJBjJXtLPYnpskl230i6skqA6j0+M7Tsgcu2MR7uiLDT5dnc+6adEZiFNwSvJVL0Zn/KW3SH50em5vOvIqSWd/f/J1fZ3ue4J52zz+oh9CAu2YchHMgqRKuFMCQO1jQ/gDz4l7orH+MfjuLVNF/yTAW9sYAsbxEzG6SNu6IncXibGev3onq3Rqaz/L7T2p09s3kuqVZa4ZKO5xY+Ry7fa3GuTW2ocs9HmRjufJAdEPmJZ24DGx8icLOPMjSx63bNBLLMvcnupPTb3tn5PXvXxUo4wXz5mY5dx9fu3Ib/+/D+AE6x956JvXuQGsFlI/WsQA5vFX3q3AKABZPpGFjnsABzgB6S1JLiX/CSagJH97KvBGP1KO84+/9o+r/f/V5ejfCUBwk701w0NzNSEp29d7/pEAPaqHJtD2FlKzPAcghMXdCWx0wnbSqQocVc7YmtKOJRwc79U0kle2ulcOjXRx/7YlDH3lGIKgWWsuYV42JB4066vHJK+1cc9f4jLNRvZXn1MVvyYfOIeUVm7akf0p9xLfta7fvnG/EK6kZXSmrGfLal7l/ItyC8gqYsCdIAIXBa3tqmzoILfx84S0AOsSlDpOyI/YEyAkC949K+6BEkN5tpGN2DnE+DnPvbUMQKlAhU4ayDWvq7ZZ669ft6fn/SsEQxbP5jImqkLdvraJtlmAwdTkmKIx9jIIdP4iqe0kS9ulOqUSKiOt4FEBLUu49UFx0p9xUatS9+U2uis8cf+zCX9Uuq/ZH/67CnZ2v1ovj7ivreJc3UhBDaaH3voq/aHPHpe0E9/Y+M/+nqu0M7HVWbm1H3Md3xFrs8of7A5G//IoWOU37Rn/iP7M/6q5VuQn4UBxhFAJP9OflnQLDig6EOGAK9yIjt9s9CAqr8ydaPSLmuUXPQFRPbR6ZPdpmv1dZeuP2Db1Vf7BEsPmGoHWeysdfP6GsRnnWDT+oW86toFm7XOtf45zSFDGyZ1kl4SbZU9wqcxkdHl5x4J9ESaNnqDbWWSeLCuLn2VMA3blegkbzFR+9Xr+GZkf+23dR05Na4yhuweP+kfQjBXBBUfVznJNfWkFdnGREbqeql9yccwER/zK//pGx93v7CLPyspmsvSY2W2hLxH9ndbr3b/FuQnYACvE5SFRQz1MVBdUKCtC4aMQkCpT4LpsqMz/ZZKScTOe6m91neSrm2ue0JiP3uzA+393QuOHryjfrPunIQoUVm/vhGC7WCw41j/nlT1R0AVi+r07UkSFuCqy+gYYZN+vX50LyH3GKr9kmRrHbwjiFpXr9fsr/22ruPj+tjTGPXmyEd1kxu9Pe7Mj4/NNTozr5Ev+W7NJ2TIX3t9vPXYk709x7hf8zH7RnjK/K5cvgX5CX4LZPGz61IHuAEfwGahJI284AXwuhvWVgESoKvPeGVIMfrU6Vtl0Z/A0q8GUJWV66o3dbXUnkRlfq4FBp1LsiWQLblVx7w+HwnavHm0HZKDJUnRmtu1w1nWTZ3+wSX8p03yEye5V7qvyTpt6qtc8ros95I9ubEt43tpE7aW6BNPGUe3UwyML2E7sb0mN/K2Sj4zl8xDTLGBbjFW499813zc440vE7fVDvVkpY6Pe56SP9hlrrEt/Xu5RX5sqLa5R3zKmreq3GCm2lXbr3z9FuRnASySRACUFrjucAUeAAESAGlzbZxFrfeSSgU6QI7ACyyCQoAKXOPIIpc8gRMdAOaT+yXAVGCO+mQeHkEALH2SIl1L4CUTAY7kzbrzEd1oTeDGOsO39YTlEAIswCH8w6q1ricY40JacOJTdZBVYyVt8Bxs1XH6wl4Ix6NRNtUkHhm1RLCxo9bnGpbFGXl0J47cL8kOYS5hP7L3lGzjx5GP6eELNvKxmHcduWlzz1c1f6jjY7Gb/imtlTZj+JSe5Cd10cEHNuu5z/heWpu1PuaYzRJ76DJn8pfWhl3Wxby7vqvfvw35WQgBYyGBqC8MUARgtU0SEcjG+Yx2V0AF8HWca0EHpPTVAFSX5KQfYK2BMnK3+gAg2TUZuK+6IyulzUAPxrTN8hrkZ53gyVoju56IYFbbCAuwoh62R/hCNBLgCAtIVMzUcbBU78VcJduRHHX6reFUH3FY58D2qqvLZlue4PS2e+7jx1H+SG6p9kXHHh8v2UmXtSE/8uioeUjbEjlljJKvOjZqu2u21vm5XvOxTctoc9TlXvH+rcjvWQsAjEjkWfKfJVfClNi2ks6z9E+55ydXSdXOvibbq6ybDanYPLu9fLy0wTi77U6m7/hlF37Pv+/k4uyLcYR9dlPAm0c9R9hwj06JYfQ+5x5Zc8z5iezeNbKzvwKJ9PnZkF5lY+fR8J4Tcp/jkfdOnPLe1mnySBs/ojucN8nvVzuBNUfavV3p3RnA2rVdcUe/tg6zbR2n9/jHE4KrPdpC1h573jPfI8Z4tIgAj9B9r06PxN/5lckkvw3Sq8DxfLw+L69tZ7vu7xHOZt+05/Ek9hGf2txd5SkBW+H7I/M9Yqz3bVchbD5+18edWftJfjeQH6cBRf0ySxx5ptIu8+w2nslf05b/T8SeEqx9+eEsfkIiZ7HlVjuuEptXe0R76zron3/zseeNJHiPs+eYc5125nrM9ZgY+LwYmOQ3Se+yu+iZuD5v4pprP9f+oxiY5DfJb5LfxMDEwMTAp8PAJL8J+k8H+o/uGOf4eeqYGLg+Bib5TfKb5DcxMDEwMfDpMDDJb4L+04F+7tqvv2ufazjX8KMYmOQ3yW+S38TAxMDEwKfDwCS/CfpPB/qP7hjn+HnqmBi4PgYm+X2Q/PyH2/qL7GcMCj9RdLSNfhnn7P/xno+u8gs+e3HmZ+78FNjZfc/Go3+n0y+aHB0nW+tqHY/GKB9d4WfP/CDJ2g8iTPL7APn5qaIr/BKCBOjvCR7x6x10+03UsyeVJB3B4jcNc3/lMr5Xnn0efl3G74seRdLW/Ij4uGddJHXxfM/Yj46he/S3CT8q91nj136fdJLfneQHBGf6MWCBi4yXErfkcsQP6575B4iXfCaxWN9nBeReuU5CH9m08P3Rp4Q6VxsLv8m5dGpg6xGJ1Vqf9XdNxa117HHNT0esrRxy9Am9Yqpew5ccyF+13h8bHtk8ye9O8vPHKZeCuDr+lddOWD1Iqn6JtAOjtj/6GuD8SZSjdvN75jPymdO8P5dz9IlJ4uO/e3DGdmNHQb/HL8/q4y+NrG0s2Lz0lOBZ62ETu/Z47Fm+2CtXzPa/KMNHr15fdoz+qPfeebyiH3z1tbThGuXFSX53kJ8Tgz8AerbEYocjYS6BDHgFzLOSSNdrFwaMvf5M93zWky3/WN8jdtaP8s0ZfW8TtPVHoSX5pdPfMx71IWJr/aqYuGd9Ec7o9YrYss73yLx1DP/IHWf+Sw9L+LLGX333q2+t8SS/O8gP4F71CDGPPbbAipC3EksCve+MtmTf245YlhLZvTJH4+joBDbq1+v4dsln1ncr2dpMrG02ur5X3vP9qx7lOZnuwRR/7fHpaE3IR1KP9iEfvSKWzV2M3mM/f4yentgoWOd7ZN46Jv6/dw579Ynj0Sltz3ib1RG+ljazlyU/iRygLEo+1UEm7Lib9wickkRV2/SpbWSQjeCMtRD6VNn6b73vkxDsksgix6ICsOsqL3Oo8us1sO0hEHLsEP21ef1HO0WyJJCqn67MlQwBlcds/GQObDbfCsrqQ+O1x79kuqarjqnzcs0fdNJhDdUpyUuQZf5rp2y607/r6Pf60WmOmW/v455MO91RW+r4ea/e4JXO6iey1OVT/c/GPCbkb30kQj7iV4lvFOx7fE+edeV72ORztrimR5t7suham2fwo//ah636kr/kO/bATfUR31kP9exyTw9Zkac9GNJOFx10ZS0zrtrIn9prXb2GOzrz0cZH7CTbfWJhJD+y2CI2c79W1jUwZunpCeLmk0qM/Jb1UFZy5B+Ysp7BVeyo42DQx7zSLmfQxbbU9TKxxS+ujafP2MRvsNvH5t64tfVIv5Tk0ae05lmTtKdkuznlXpl/L/+TRhYMWCzuqFwLNkDiVBMwaQDuwNInAWwRTD6JOEERR7ivz8+784EofZWAs7ar5uTYn2A2zpyREl1ZNLr1qfLrNTlrutLX7pVec+Yb8+0+0beDAOirfPexhx8CWrYbm7bqX3L5JP51b01r/9iZkp1kkO+TADcOiH3Us40dNcAjI6X2+Dt1o1JgxP7YFxz1/gn2mgB6H7Zt6TUHm5Loob/6STKpeOP/4NbYuo6xOeO1w1L6x7706/Vpj874lP6cfrSRT69219lUZXwvk2x7fb3PXMiDfeXoURR/0t03b+aiPjLTL/fWtm5WzMcnydpaVSIwLjZV/Eeekh+DPX2NJ8+HPvZYL9dir9tcZdFBXq0bXfNN8k3s46tR3/ikxrm+FZOZG92RS5b67i9z0Ra9waw686v+7/bUPEY/v5HDNrEtnthALzz18bnP2NyvlXRm7nU9RmOCh9p2GPlxBOM5Y/SpC1UN5sTaxll1EfXldIGlzFj69LXAFtF12lyrS7KQeC12kkOVY4y+bM74WoaAUifZkZd7pTkAB6DX+tE12/hp1JY69rGpyrPY1U/pq5+23JtjEmgSPXn0CnY+ycc489av+1d/n8hNYManqVdaC/NPnSDjt9xbI/L5KTalbVSSVXWP+nQd+vNFAr6P4Tvta3Kty1o7meYVwnXP1pokg0f6MtfgTn82JMBjc9VpTfip2h/fV71pt7bGVB1s6jJsKCWpJf9EnpLtI121jzW3plXeyL+ZY8du5hSZ7A8p8Ju1IC/t5lRjtI/XL7pqv4xHcPyU2BdbvuSWNdIvmzRzy7ilkn1Zx6U+5HQd5lTxUsdmTsrUJ7cEI1lnc+Qvfa2Ve/PTzyebz8gx34xVp2/1b/opEU/FDz11/dhPvn513OiaLdZu1Fbr6KiYMy+YrX3q9cj+w8ivGrb3GiD7IklqfScBREsLFcAEHNGtf0hGgMZZQFIBr3/tm/FKthhX68isQNA2AlsdI2GS42O+yCn3ykpy0dv9ol8Nishnu7bcZzwdwBNAGdv7ZQz7l/ybPvFz5KVeydbu/9ruejTP9DF/7flIqmTmvhKpMYLY3JLI1FkT/SOzl9rNsdrZ9fLZml44XNMRneTaaLCxrxkbklzj92oT+R1f8X2XRZ+E3ZOQefTETGb3Y+wNMcTf7GZ/7kdzlqwSX5FjbpUM1WeOS3PKWKX1lHTNU1kxeQv5dbvINoeR/6p+7aO56mMe1R98vOYjGNUna00GXJhTzz+xgX7tNcb0lQ/VW2trpT9byMvYWq7NI/2Mr/5NfWJryUb9tInRpT493+lbfdftdt/znTnDWOzq5cj+w8gPOAB86TMCnsnVHYYJWuDeVyBbqB7QgiWA6W36d+chM4Hdk4C+o92igOu2GF+TFZvpBvQe+H3B3Bs70lX7Ct5uO7012ac/2wEh9yn1JUO75Bg/dRnu2aRfDVRyat+M7/4wZ2Ojd6lk49a8M5bfu4/TpuyJXBDyTyeBPoada3LZt9ZO7945sKn6P7awIViN36tOfqIn/ZXxfU2K6uP7uqNPgq3jXZPJR71+dK9vX+fej531BGMOIxxmjktzilxYkwCT3DPntN9Cfn2N+Gdr7emJzurP6O8lHVnH3ubeWnV/mEPf2Nex0T/yPV3kyTPsc91zBFn8GDlVtutKVsaP4na04e9y6IclfXtbv7f+5t3r6732GrswsLVeI/sPIz8Gc7pFH5U1UDJxE6gLzZkmPSIRi85JdQE5LAmgBpc+5CSZJ6DojWNjg1LQdUJUT0YFOFLqCYQucwBq9mwFDjD04Ky2uLaj1C/1/NI3CWljY7Wd/u4jfk4Sqrr1i9/szkb+jR5+oKuCVBsfq08/Jbl1DdnvYw21b/mIHXX+VbZr7XUebCK7rnMfY57srL7pfazvml7tPnVc72/eVQfb+D9j2BBMZU2qDH2zJhkTH3ffw131Pb0jLBtPJ1zx0Zb/6e9EG1uUxmctU2/TOorxzLHv9rvt3U+9va95b2eH+fNHjQf1saH6Wd+KF9d5nAerWz6Cg6xjfFBL7WxOXebH7tT1MnOqcquNbJZ/9IN/a1D7xm5j+KGSo7FVNx/po77aYe0rXrWNMK2fNTe+bpKrLNd8Xv3Q292zI7aRJdd1fPVxbOx2HkZ+3bg995xnETiIMwVIFrcvSoAhuC28iQcYgGVcva/JETElGSvprfZp747UbgEASPJgHz0Wki3qgU1dgMW2LGKVX6/NtSfQ2i7oJKnUpX/3h3ZtgMO22r/OXRILcarX31zZwA8J8urfBG78SbZ+xnbbgZWf6GAPn/i4Zpdr/mO/fmyIztjcSz42vtfnng3mIPCzPnwWvelXSzL7xqW2u2bbml7yzQFO9bP21UdkqE9ScM+v8T8f8GGIIKSmjC0wVJOWej42rq6reslavZJM9tAdrPKTNh/9jYf1qi96a2n8Go75gZyM0bdiMPXK4KqvebWdPPbXuZiHe21i1npXUjNX7T0u+K/Hsj7Wns3Wh67Mj6/ZErK3VrASn9W51Gu+XPMjf9CpD5lw4p7uJdnWy5wqmQTfdJuHuZHFJ7Bo08ovPsGZvuwjy1xcK6uv2Ke94929en53zU/ijM2u+Z3u9Fta9/hKP7pzPyqtGfv5xnzptv700TUaw8aeiy5FfhaRY0zYwpioSfeEkslbAO0c1Z3CccBtMVxnjNKCGaPNdQVB2keJkRz2BVT0k2M8m32iR3DT32WnPaV+3b60pdRONnsBIfW9FFhAUHd//GJcfNHHuzcn8+h+jn+TJLo+gcf/vR7AjfHJ3Mh2X3WM1qbLcg/0PVnWfpID+/nItQ+72FH71euePGtbrtm+plc/+OE/CWXU13zNM3ir/udfbRKtfuYJW0pzsI7afTq+l3zPB+ZONvuCGzjkf7IzP3hhf+6XSnas+dI4ciUftq71pU9y67rYx4f8ZO7a2c5m+s2fn61J94s2cunOvCOfjFEsG0MXmSE6Y8yh+ki/nlQju5bs0rfW1WtzyvyCE/oTH7VvrrVb59wr4Yc9Wdeqkw5t5jRaV/Ncwiqfyh0je9RlXNZWXV0rtvX4rnbn2txrDKS+lnTAcObgvuuq/WFnZPulyK9O6MhrgOLMgPRIW27RDdyjQL9Fxi19JYl6Kr1l7JF9Eyw9UR5p0626r+p7SSybx1vnfE9/mwqxHEK9R8ZRY2wSKhE/2w65wwbi2XoeLd8mbpT3Jvn9akdyj7MF6dWAUHf898z5njEC1K7xnrFHjUF6fUd9lC0f0cv32Yl/RM4rx9osvZqIxPIrSeQR/kTaoxPyI2QvyXCau2Jc2EzllFjnNsnvTvJz6hOoTgnVoWe9dlr1aOLV9tl1HaH3I/PceiT6EdmvHMv3HqW9UudHdHnc5XHdR2TcM1YsXw2jHl9uPR68xxdbY2wU4Gqr35naEfZoQzXJ707ys7h2Qq98RHMvoBA00Nbn//fKumecE/IRgXqPrey82ilgbZ7I5ArJCjZh9KjNpDUfnQ7WfHtU25F5x0bB5vAqr3zW8D/J7wPkB/wSy9kfLQns0c7nlcGLVM4eMNbxyu/5ltbTu96z+/4MxGPtzx7L1vHojaRccoUNok3C2npO8vsg+S0lnFl/37vU6bfpt4mBiYFXYGCS3yS/Sz2/f0VQTB0z+U4MvD8GJvlN8pvkNzEwMTAx8OkwMMlvgv7TgX7u6t9/Vz/XeK7xFga+RX6pmOX0wPTA9MD0wPTAu3vg6z9m++4TnfObHpgemB6YHpgeiAf+HwIx1VjYcbv2AAAAAElFTkSuQmCC)
Question - 6 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,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)
Answer - 6 : - The given function is![](data:image/png;base64,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)
Question - 7 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE8AAAAnCAYAAABOkxWxAAAEmElEQVRoBe2YP0hWURjGJZzCKZzCKRylSRrCUZqkIRylIZzCKZzCKRylSZqkIRylIZzCURrCUZqkIZzCUZqkWz/hkde3c84993znfpLcDw7n3vPn/fO8z/uec7+JZvgVIzBRvHPY2FyBd/H7ohlaHgbizQBeAWkG8ApAU2b2Dt7B54Nm7eXarWi7H3avlbTewVt/td7svN9pjr4e/fft5PvJeMFberrUnP08u6ZUtP/f+96ZN/9o/lYCR+D16+20XXi8MDbwqK/nv86r6Nv/tN8qp1fwjr8dN6svVluNqJG+h18Om+1329V07X3ca2gp23oFD+WbbzaTBqSMy52DbcvPljvr4fSkJm+93QruXXm+kqzXvYKHUW3RywUotQ7G+WtEaj1zpz9OG6X54pPFy2e/R9csP673LPCIbEktIWVJXSnrq599MJtkSJtesoO0D62buT8Tld0KHgBM3pm8bBR/IhZSEhpjfQnoIVmxMe6PgBebzxnfeL0R3U9ac08NyUmCR0RoGEhaTN+bbrpcPbqsDRlnx2KnH/aV1DvJpqykCMElPyY/CZ5HnNoCC1PKZBQXY6Km91F62Dv3cC4oi3qFgyXyAQ5iYCt9SAY+Q5rQXBI8v4G6AHg5qchavmmtDEDnEMFZf5DgAIaSQrBcOtgDQOglmBRxKxPHYqcl6/iksp9V2IUuxihJarGaB+NjhOkEHsbHKGwd4hkAAEPjRBYmAgrGT92dugSKeRyx9RSHSHnW0tCLA6xjr2QyJ1A1ZnsAQZZqIinOs88ou8c/IwMdIXA7gQcDbBS9IvsOgyxLAMe+w0oVagKiZ2QACuDiLO+KvpXPM6zEsdQ1xcqKpaaXa9/Zgw6fKazRr/XzDAO7RAxAVBthCwbEgAcoL5tAAThGxsDjGhRzzAKALBhox3KfpcPbx379kuBBWbEgV6k9acWQEPUFrE1xdHC7l4xRwUNW6eE1EnjQ1gNn6w6O+nfGxBqBDbv8AQIozHMRxUGtpYe5Wh8DT0FJpS3OUxJiJ6bVGXoWeJ3TFuAAAcrSMBIgdbpRT0gJW68wgPT0YAAEKcZe5MI0sY0xwFWaI4PCrjSnVirtbd3UgSE51nmcZp45rUNvCmi7X89FBwaOcLfCCd/kFEACCsyRMnqY4gFlHEABgebvZqxHH0Ai04NECqPHpz5jPjPQhc2wF+B4J20hQihLmI81sd4GVmuzap4Wh3rR2jpLtGMRxhk5FJLX1TmYr/QOyRt1jIyLpfzI4GEcESXKMhRnSBG999nDutLDIMcuMiImvwp4sIxUFGtgQ4pdOUbnriFIvmzk7s1ZB3Chawp79UteVdqUABTUVuHWFaNtX615aqXqcC2ZkkPtjBGhCngoIlUBDUUwT8rH0cN83QBq6uNwStXTauCRPqQuFC+9zY/ieKwujSITP0KnrGRWAw+BMK/tXw4prt0TvNCVpVQPt4fYjUEyq4IH62CfvhykZFw9DsfqU1cbQl8UXkZV8DCcL4W+irc3/qbfq4KHM7Uif9PA5OivDl6O0tuyZgDvb7aUBvMf8DQw9PkIXH1h5G8ZVgqBP9z9H3Gv/dR3AAAAAElFTkSuQmCC)
Answer - 7 : -
Question - 8 : - Differentiatethe functions with respect to x.
![](data:image/png;base64,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)
Answer - 8 : - ![](data:image/png;base64,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)
Clearly, f isa composite function of two functions, u and v,such that
![](data:image/png;base64,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)
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)
By using chain rule, we obtain
![](data:image/png;base64,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)
Alternate method
![](data:image/png;base64,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)
Question - 9 : - Provethat the function f given by
isnotdifferentiable at x = 1.
Answer - 9 : - The given function is ![](data:image/png;base64,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)
It isknown that a function f is differentiable at a point x = c inits domain if both
are finite and equal.
Tocheck the differentiability of the given function at x = 1,
considerthe left hand limit of f at x = 1
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)
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)
Sincethe left and right hand limits of f at x = 1are not equal, f is not differentiable at x =1
Question - 10 : - Prove that the greatest integer function defined by
is notdifferentiableat x = 1 and x = 2.
Answer - 10 : - The given function f is![](data:image/png;base64,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)
It isknown that a function f is differentiable at a point x = c inits domain if both.
are finite and equal.
Tocheck the differentiability of the given function at x = 1,consider the left hand limit of f at x = 1
![](data:image/png;base64,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)
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)
Sincethe left and right hand limits of f at x = 1are not equal, f is not differentiable at
x = 1
Tocheck the differentiability of the given function at x = 2,consider the left hand limit
of f at x =2
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)
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)
Sincethe left and right hand limits of f at x = 2are not equal, f is not differentiable at x =2