Question

Tentukan f(x) jika diketahui sebagai berikut :
a. f'(x) = 6x^2+6 dan f(2)=20
b. f'(x) = 3x^2+6x+6 dan f(1) = 5

TOLONG JAWAB DENGAN BEANR YAH GUYS

Answer 1

Verified answer

A) f'(x) = 6x² + 6
F(x) = 2x³ + 6x + C
F(2) = 20
2(2³) + 6(2) + C = 20
16 + 12 + C = 20
C = 20 - 28
C = -8
F(x) = 2x³ + 6x - 8

b) f'(x) = 3x² + 6x + 6
F(x) = 2x³ + 3x² + 6x + C
F(1) = 5
2(1)³ + 3(1)² + 6(1) + C = 5
2 + 3 + 6 + C = 5
C = 5 - 11
C = -6
F(x) = 2x³ + 3x² + 6x - 6