# Exercise 5.3

Find in the following(Class 12 ncert solution math exercise 5.3)

Question 1: 2x + 3y = sin x

Solution: 2x + 3y = sin x

Differentiate with respect to x

Question 2:- 2x + 3y = sin y

Solution :- 2x + 3y = sin y

Differentiate w.r.t. x

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Question3:

Solution:

Differentiate with respect to x

Question 4:-

Solution:

Differentiate with respect to x

Question 5:

Solution :

Differentiate with respect to x

Question 6:

Solution:

Differentiate with respect to x

Question 7:

Solution:

Differentiate with respect to x

Question 8:

Solution:

Differentiate with respect to x

Question 9:

Solution:

Let

Then,

Differentiate with respect to x

Question 10:

Solution:

Let

Differentiate with respect to x

Question 11:

Solution :

Let

Differentiate with respect to x

Question 12:

Solution :

Let

Differentiate with respect to x

Question 13:

Solution:

Let

Differentiate with respect to x

Question 14:

Solution:

Let

Differentiate with respect to x

Question 15:

Solution:

Let,

Differentiate with respect to x