Question

Jika f (x) = (2x+1)^2 (x+2) maka f'x =......

Answer 1

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

u = (2x+1)^2
u = 4x^2+4x+1
u' = 8x+4

v = x+2
v'= 1

f'(x)= u' . v + u . v'
f'(x)= (8x+4)(x+2) + (4x^2+4x+1)(1)
f'(x)= 8x^2+16x+4x+8 + 4x^2+4x+1
f'(x)= 12x^2 + 24x + 9