Q7 of 354 Page 11

Differentiate the following functions with respect to x:
sin²(2x + 1)

Let y = sin²(2x + 1)

On differentiating y with respect to x, we get

We know

[using chain rule]

We have

[using chain rule]

[∵ sin(2θ) = 2sinθcosθ]

However, and derivative of a constant is 0.

Thus,

Differentiate the following functions with respect to x:

e^{tan x}

Differentiate the following functions with respect to x:

log₇(2x – 3)

Differentiate the following functions with respect to x:

tan(5x°)

Differentiate the following functions with respect to x:sin2(2x + 1)