Differentiate the following with respect to x:

sin² (2x + 3)

To Find: Differentiation

NOTE : When 2 functions are in the product then we used product rule i.e

Formula used: sin² (ax + b) = 2 sin (ax + b)sin(ax + b)(ax + b)

Let us take y = sin² (2x + 3)

So, by using above formula, we have

sin² (2x + 3) = 2 sin (2x + 3)sin(2x + 3)(2x + 3) = 4sin(2x + 3)cos(2x + 3).

Differentiation of y = sin² (2x + 3)is 4sin(2x + 3)cos(2x + 3)