Matematika

Pertanyaan

Tentukan turunan fungsi dibawah ini!
1. F(x) =10 5√x2
2. F(x) = 2/√x3

Tolong bantuannya ya!!!

2 Jawaban

  • nomor 1 gk jelas
    2. f(x) = 2x^(-3/2)
    f'(x) = 2(-3/2)x^(-5/2) = -3/√x^5 = -3x^2√x

    periksa lagi
  • 1]

    F(x) = 10 5^Vx^2
    F(x) = 10x^(2/5)
    F'(x) = 10(2/5)x^(2/5 - 1)
    F'(x) = 4x^(-3/5)
    F'(x) = 4/x^3/5

    ..................4
    F'(x) = ------------
    .............5^Vx^3


    2]

    F(x) = 2/Vx^3
    F(x) = 2x^(-3/2)
    F'(x) = 2(-3/2)x^(-3/2 - 1)
    F'(x) = -3x^(-5/2)
    F'(x) = -3x^(-4/2)x^(-1/2)
    F'(x) = -3x^(-2)x^(-1/2)

    .................-3
    F'(x) = ------------
    .............x^2 Vx



    keterangan :
    V = akar
    ^ = pangkat
    5^Vx^2 = akar pangkat 5 dari x kuadrat

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