Matematika

Pertanyaan

Tolong bantu

No.5 sm 6

jgn lupa caranya ya thx...
Tolong bantu No.5 sm 6 jgn lupa caranya ya thx...

1 Jawaban

  • jawab
    Turunan

    (5)
    f(x) = (x - 2)/ (x²+ 3)
    y = u/v --> y'=  (u'v- uv' )/ (v²)

    u = x - 2 --> u' = 1
    v = x² + 3 --> v' = 2x

    f' (x) = { 1(x²+3) - 2x(x-2)}/ (x² + 3)²
    f' (x) = ( x² + 3 - 2x² + 4x) / (x² + 3)²
    f ' (x) = (- x² + 4x + 3)/ (x² + 3)²
    (A)

    (6)
     f(x) = (3x² +7)⁵
    f '(x) = 5(3x² + 7)⁴ (6x )
    f' (x) = 30 x (3x + 7)⁴
    (A)