Q9 of 354 Page 11

Differentiate the following functions with respect to x:
tan(5x°)

Let y = tan(5x°)

First, we will convert the angle from degrees to radians.

We have

On differentiating y with respect to x, we get

We know

[using chain rule]

However,

Thus,

Differentiate the following functions with respect to x:

sin²(2x + 1)

Differentiate the following functions with respect to x:

log₇(2x – 3)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:tan(5x°)