Chapter 5 Continuity and Differentiability Ex 5.5 Solutions
Question - 1 : - Differentiate the function withrespect to x.
Answer - 1 : - 
Taking logarithm on both thesides, we obtain
Differentiating both sides withrespect to x, we obtain
Differentiate the function withrespect to x.
Answer - 2 : - 
Taking logarithm on both thesides, we obtain
Differentiating both sides withrespect to x, we obtain
Differentiate the function withrespect to x.
Answer - 3 : - 
Taking logarithm on both thesides, we obtain
Differentiating both sides withrespect to x, we obtain
Differentiate the function withrespect to x.
Answer - 4 : - 
u = xx
Taking logarithm on both thesides, we obtain
Differentiating both sides withrespect to x, we obtain
v = 2sin x
Taking logarithm on both thesides with respect to x, we obtain
Differentiating both sides withrespect to x, we obtain
Differentiate the function withrespect to x.
Answer - 5 : - 
Taking logarithm on both thesides, we obtain
Differentiating both sides withrespect to x, we obtain
Differentiate the function withrespect to x.
Answer - 6 : - 
Differentiating both sides withrespect to x, we obtain
Differentiating both sides withrespect to x, we obtain
Therefore, from (1), (2), and(3), we obtain
Differentiate the function withrespect to x.
Answer - 7 : - 
u =(log x)x
Differentiating both sides withrespect to x, we obtain
Differentiating both sides withrespect to x, we obtain
Therefore, from (1), (2), and(3), we obtain
Differentiate the function withrespect to x.
Answer - 8 : - 
Differentiating both sides withrespect to x, we obtain
Therefore, from (1), (2), and(3), we obtain
Differentiate the function withrespect to x.
Answer - 9 : - 
Differentiating both sides withrespect to x, we obtain
Differentiating both sides withrespect to x, we obtain
From (1), (2), and (3), we obtain
Differentiate the function withrespect to x.
Answer - 10 : - 
Differentiating both sides withrespect to x, we obtain
Differentiating both sides withrespect to x, we obtain
From (1), (2), and (3), we obtain
