Chapter 5 Continuity and Differentiability Ex 5.3 Solutions
Question - 1 : - Find 
:
Answer - 1 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 2 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 3 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 4 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 5 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Using chain rule, we obtain
and
From (1) and (2), we obtain
Answer - 6 : - The given relationship is
Differentiating this relationship with respectto x, we obtain
Question - 7 : - Find :
Answer - 7 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
[Derivative of constantfunction is 0]
Answer - 8 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Answer - 9 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Using chain rule, we obtain
From (1), (2), and (3), we obtain
Answer - 10 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
