Question

Jika f'(x) = 6x^2 dan f(-2) = -12
Tentukan f(x)

Answer 1

F'(x) = dy/dx = 6x^2
f(x) = INT 6x^2 dx
f(x) = 2x^3 + C

f(-2) = -12
f(-2) = 2(-2)^3 + C = -12
-16 + C = -12
C = 4

f(x) = 2x^3 + 4