# NCERT solution class 12 chapter 5 Continuity and Differentiability exercise 5.4 mathematics part 1

## EXERCISE 5.4

#### Question 1:

Differentiate the following w.r.t. x:

Let

By using the quotient rule, we obtain

#### Question 2:

Differentiate the following w.r.t. x:

Let

By using the chain rule, we obtain

#### Question 3:

Differentiate the following w.r.t. x:

Let

By using the chain rule, we obtain

#### Question 4:

Differentiate the following w.r.t. x:

Let

By using the chain rule, we obtain

#### Question 5:

Differentiate the following w.r.t. x:

Let

By using the chain rule, we obtain

#### Question 6:

Differentiate the following w.r.t. x:

#### Question 7:

Differentiate the following w.r.t. x:

Let

Then,

By differentiating this relationship with respect to x, we obtain

#### Question 8:

Differentiate the following w.r.t. x:

Let

By using the chain rule, we obtain

x > 1

#### Question 9:

Differentiate the following w.r.t. x:

Let

By using the quotient rule, we obtain

#### Question 10:

Differentiate the following w.r.t. x: