## Chapter 30 – Derivatives Exercise Ex. 30.2

Differentiate -x using first principles.

Differentiate (-x)^{-1} using first principles.

Differentiate sin(x + 1) using first principles.

Differentiate cos using first principles.

## Chapter 30 – Derivatives Exercise Ex. 30.4

Differentiate the following functions with respect to

x:

Differentiate the following functions with respect to

x:

(ax + b)^{n} (cx + d)^{m}

Differentiate in two ways, using product rule and

otherwise, the function (1 + 2 tan x) (5 + 4 cos

x). Verify that the answer are the same.

Differentiate each of the following functions by the

product rule and the other method and verify that answer from both the

methods is the same.

(3x^{2} + 2)^{2}

Differentiate each of the following functions by the

product rule and the other method and verify that answer from both the

methods is the same.

(x + 2)(x + 3)

Differentiate each of the following functions by the

product rule and the other method and verify that answer from both the

methods is the same.

(3 sec x – 4 cosec x) (-2 sin x + 5 cos

x)

## Chapter 30 – Derivatives Exercise Ex. 30.1

## Chapter 30 – Derivatives Exercise Ex. 30.3

Defferentiate f (x) =

## Chapter 30 – Derivatives Exercise Ex. 30.5

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x: