Chapter 5 Continuity and Differentiability Ex 5.3 Solutions
Question - 11 : - Find 
:
Answer - 11 : - We have
Question - 12 : - Find 
Answer - 12 : -
The give relationship is
It is known that,
Comparing equations (1) and (2),we obtain
Differentiating this relationshipwith respect to x, we obtain
Answer - 13 : -
The given relationship is,
On comparing L.H.S. and R.H.S. ofthe above relationship, we obtain
Differentiating this relationshipwith respect to x, we obtain
Question - 14 : - Find
Answer - 14 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Using chain rule, we obtain
From (1), (2), and (3), we obtain
Alternate method
⇒
Differentiating this relationshipwith respect to x, we obtain
Answer - 15 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 16 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 17 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
