Jika f(x) =[tex] 2x^{3} [/tex] . g(x), g(1) = -2, g’(1) = 3, maka f’(1) = ? A. -6 B. 6 C. 0 D. 12 E. -12

Question

Matematika Diposting : 2017-12-12 Diupdate : 2017-12-12 aidamurvae

Pertanyaan

Jika f(x) =[tex] 2x^{3} [/tex] . g(x), g(1) = -2, g’(1) = 3, maka f’(1) = ?
A. -6
B. 6
C. 0
D. 12
E. -12

Answer 1

f(x) = 2x³ . g(x)
g(1) = -2
g’(1) = 3

f '(x) = 2x³ . g '(x) + 6x² . g(x)
f '(1) = 2(1)³ . g '(1) + 6(1)² . g(1)
= 2 . 3 + 6 . (-2)
= 6 - 12
= -6