Question

What is the derivative of `sin(x^2 -2)^3`?

Answer 1

`d/dxsin(x^2-2)^3=6x(x^2-2)^2cos(x^2-2)^3`.

Explanation:

By using the power rule in conjunction with other rules we get

`d/dxsin(x^2-2)^3=cos(x^2-2)^3*3(x^2-2)^2*2x`

`=6x(x^2-2)^2cos(x^2-2)^3`.