Menghitung turunan f(x) = x^3 (2x + 1)^5

TURUNAN

misal
U = x^3 => U' = 3x^2
V = (2x+1)^5 => V' = 5×2(2x+1)^4 = 10(2x+1)^4

f'(x) = U'V + UV'
f'(x) = 3x^2•(2x+1)^5 + x^3•(10(2x+1)^4
f'(x) = 3x^2•(2x+1)^5 + 10x^3•(2x+1)^4
atau
f'(x) = x^2•(2x+1)^4•(3(2x+1) + 10x)
f'(x) = x^2•(2x+1)^4•(6x+3+10x)
f'(x) = x^2•(2x+1)^4•(16x+3)