Carilah turunan dari fungsi fungsi berikut ini: A.f(x) = (2x-1)² . (x+2) dan B.f(x) = (5x²-2)²

Jawaban A
f(x) = (2x-1)².(x+2)
misal
u = (2x-1)²
u' = 4(2x-1)
u ' = 8x-4

v = x+2
v' = 1

f'(x) = u'.v + u.v'
f'(x) = (8x-4)(x+2) + (2x-1)².1
f'(x) = (8x²+12x-8) + (4x²-4x+1)
f'(x) = 12x²+8x-7

jawaban B
f(x) = (5x²-2)²
f'(x) = 2(5x²-2).10x
f'(x) = 20x(5x²-2)
f'(x) = 100x³-40x