Question

Turunan dari F(x) = (x^2+1) (x^3-1)

Answer 1

F(x)=(x^2+1) (x^3-1)

misal,
F(x)= g(x) x h(x)
turunan,
F'(x) = g'(x) h(x) + g(x) h'(x)

jadi,
F(x) = (x^2+1) (x^3 - 1)
F(x) = (2x) (x^3 - 1) + (x^2 + 1) (3x^2)
       = (2x^4 - 2x + (3x^4 + 3x^2)
       = 5x^4 + 3x^2  - 2x

Answer 2

F(x) = (x²+1)(x³-1)
f(x) = x⁵+x³-x²-1
f'(x) = 5x⁴+3x²-2x