Matematika

Pertanyaan

jika f(x) = g(x).√x, g(4) =8, g'(4)=7, maka f'(4)=

1 Jawaban

  • f(x)=g(x)√x
    f(x)/√x=g(x)
    f(4)/√4=g(4)
    f(4)/2=8
    f(4)=16

    g'(x)=[f'(x)√x-f(x)/2√x]/x
    g'(4)=[f'(4)√4-f(4)/2√4]/4
    7=[2f'(4)-16/4]/4
    28=2f'(4)-4
    24=2f'(4)
    12=f'(4)

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