tentukan turunan fungsi f(x)= (x³-8)(x²+2x-1)

f(x) = (x³-8)(x²+2x-1)
U☝ V☝

U(x) = x³-8
U'(x) = 3x²

V(x) = x²+2x-1
V'(x) = 2x+2

f'(x) = U'V + UV'
= 3x²(x²+2x-1) + x³-8(2x+2)
= 3x^4+6x³-3x² + 2x^4+2x³-16x-16
f'(x) = 5x^4+8x³-3x²-16x-16

Itu di kaliin dulu biar gampang buat di diferensial :
f(x) = x^5 + 2x^4 - x^3 - 8x^2 - 16x + 8
f'(x) = 5x^4 + 8x^3 - 3x^2 - 16x - 16