Question

Berapa turunan fungsi dari f (x) = (x^5 + 1) (x^4 - 2) (x^3 + 3)

Answer 1

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

f(x) = (x^5 +1) (x^7+ 3x^4 -2x^3 -6)

Misal U = (x^5 +1) -> U' = 5x^4

V = (x^7+3x^4 -2x^3 -6)

V' = 7x^6 + 12 x^3 -6x^2

f'(x) = U'.V + U.V'

=(5x^4) (x^7 +3x^4-2x^3) + (x^5 +1) (7x^6 +12x^3 -6x^2)