Question

Second derivative of sin (2x)^2

Answer 1

Let, y = sin²(2x)

dy/dx = 2sin(2x)cos(2x) . 2

Using chain rule and normal differentiation.

dy/dx = 2sin(4x)

d²y/dx² = 2cos(4x).4

            = 8 cos(4x)

Hence, d²y/dx² = 8 cos(4x)