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

Question - 2 : - Find
:
Answer - 2 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain


Question - 3 : - Find
:
Answer - 3 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain

Question - 4 : - Find
;
Answer - 4 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain


Question - 5 : - Find
;
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

Question - 6 : - Find
:
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]

Question - 8 : - Find
:
Answer - 8 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain

Question - 9 : - Find
:
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

Question - 10 : - Find
:
Answer - 10 : - The given relationship is
Differentiating this relationshipwith respect to x, we obtain
