Matematika

Pertanyaan

Jika f(3-2x) = [tex] (1+3x)^{4} [/tex]
Nilai f'(3) = ...
A. 6
B. 4
C. 0
D. -4
E. -6

1 Jawaban

  • f(3-2x) = (1 + 3x)⁴
    misal p = 3 - 2x
    2x = 3 - p
    x = (3-p)/2
    f(p) = (1 + 3(3-p)/2)⁴
    f(x) = (1 + 3(3-x)/2)⁴
    f(x) = (1 + 9/2 - 3/2x)⁴
    f(x) = (11/2 - 3/2x)⁴
    f'(x) turunan yah
    f'(x) = -3/2(4) (11/2 - 3/2x)³
    f'(x) = -6(11/2 - 3/2x)³
    f'(3) = -6(11/2 - 3/2(3))³
    = -6(11/2 - 9/2)³
    = -6(2/2)³
    = -6(1)³
    = -6(1)
    = -6

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