Question

find the derivative of f(x)=x^3(cos-sinx)

Answer 1

use the product rule
f'(x) = x^3 * d(cos x - sinx)dx + (cos x - sin x)* 3x^2

Answer 2

can you find the derivative of (cosx - sin x)?

Answer 3

-cos(x)-sin(x)

Answer 4

right?

Answer 5

yes

Answer 6

plug this into the expression and see if u can simplify

Answer 7

i notice you wrote ( cos - sin x) in the question
i assumed it was cos x - sin x