Matematika

Pertanyaan

1. Tentukan turunan fungsi dari ∛x² adalah..
2. Diketahui fungsi f(x) = 3x² - 5x + 2 dan g(x) = 2x³ - 3x² + 4x - 1. tentukan dari nilai berikut :
a) f'(x) + g'(x)
b) f'(1) + g'(0)
c) f"(0) + g'(1)

2 Jawaban

  • 1.
    f(x) = ³√x² = (x)^⅔
    f'(x) = ⅔ . (x)^⅔-1 . (1)
    f'(x) = ⅔ . (x)^⅓
    f'(x) = 2 / 3 . ³√x

    Maaf jika jwbnnya salah


    Gambar lampiran jawaban vivoktviaputri
  • 1) f(x) = ^3 akar x^2
    f(x) = x^2/3
    f'(x) = 2/3 x^2/3-1
    f'(x) = 2/3 x^-1/3
    f'(x) = 2/(3 ^3 akar x)

    2) f(x) = 3x^2 - 5x + 2
    f'(x) = 6x - 5
    f"(x) = 6
    g(x) = 2x^3 - 3x^2 + 4x - 1
    g'(x) = 6x^2 - 6x + 4
    a)f'(x) + g'(x) = 6x - 5 + 6x^2 - 6x + 4
    = 6x^2 - 1
    b)f'(1) + g'(0) = [6x - 5] + [6x^2 - 6x + 4]
    = [6(1) - 5] + [6(0)^2 - 6(0) + 4]
    = [6 - 5] + [0 - 0 + 4]
    = 1 + 4
    = 5
    c)f"(0) + g'(1) = [6] + [6(1)^2 - 6(1) + 4]
    = [6] + [6 -6 + 4]
    = 6 + 4
    = 10

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