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
Using chain rule, we obtain
and
From (1) and (2), we obtain
Question
4
:
Find :
Answer
4 :
The given relationship is
Differentiating this relationship with respectto x, we obtain
Question
5
:
Find :
Answer
5 :
The given relationship is
Differentiating this relationshipwith respect to x, we obtain
[Derivative of constantfunction is 0]
Question
6
:
Find :
Answer
6 :
The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Question
7
:
Find :
Answer
7 :
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
8
:
Find :
Answer
8 :
The given relationship is
Differentiating this relationshipwith respect to x, we obtain
Question
9
:
Find :
Answer
9 :
We have
Question
10
:
Find 
Answer
10 :
The give relationship is
It is known that,
Comparing equations (1) and (2),we obtain
Differentiating this relationshipwith respect to x, we obtain
