Q43 of 354 Page 11

Differentiate the following functions with respect to x:
sin²{log(2x + 3)}

Let y = sin²{log(2x + 3)}

On differentiating y with respect to x, we get

We know

[chain rule]

We have

As sin(2θ) = 2sinθcosθ, we have

We know

However, and derivative of a constant is 0.

Thus,

Differentiate the following functions with respect to x:

log(3x + 2) – x²log(2x – 1)

Differentiate the following functions with respect to x:

e^x log(sin 2x)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:sin2{log(2x + 3)}