Question

How do you find the derivative of `f(x)=10cos^3(4x)`?

Answer 1

`f'(x) = - 120 cos^2 (4x) * sin (4x)`

Explanation:

10 is constant
take x, multiply by 4,
take the cos,
power 3

you derivate down upwards:

`f'(x) = 10 * 3 cos^2 (4x) * (-sin (4x)) * 4`