Question

Find the second derivative of y=cosxsin^2x

Answer 1

Step-by-step explanation:

y = cosx ( 1 - cos^2x)

y = cosx - cos^3x

First order derivative = -sinx - (3cos^2x × - sinx)

= - sinx + 3sinx cos^2x

For second order derivative, again change cos^2x to 1 - sin^2x and do differentiation