Question

Mohon bantuannya mengenai turunan dari turunan x^2 cos x + x (cos x -sin x).makasih

Answer 1

F(x) = x^2 cos x + x (cos x -sin x) = x^2 cos x + x cos x - x sin x
f'(x) = (2x.cosx + x^2.(-sinx)) + (1.cos x + x.(-sinx)) - (1.sinx + x.cosx)
=  2x.cosx - x^2.sinx + cos x - x.sinx - sinx - x.cosx
= cosx (2x + 1 - x) - sinx (x^2 + x + 1)
= cosx (x+1) - sinx (x^2 + x + 1)