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

Question

Philoid · Accepted Answer

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,