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

Question

Philoid · Accepted Answer

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,