Matematika

Pertanyaan

Tentukan turunan dari fungsi fungsi berikut a/ f(x)=(4x-6)½ b/ f(x)=(2x²-6)½

2 Jawaban

  • a. f(x)=(4x-6)½
    f'(x) = 4/ (2*(4x-6)½ = 2/(2√(4x-6))

    b. f(x)=(2x²-6)½
    f'(x) = 2x/(2√(2x²-6))
  • f (x) = (4x -6)^1/2
    f '(x) = 1/2(4x -6)^(1/2-1). 4
    f' (x) = 2(4x -6)^-1/2
    = 2/(4x -6)^1/2
    = 2 / V(4x-6)
    B) f (x) = (2x^2 - 6)^1/2
    f '(x) = 1/2(2x^2 -6)^(1/2-1).(4x)
    f '(x) = 2x(2x^2-6)^-1/2
    = 2x / (2x^2-6)^1/2
    = 2x / V(2x^2-6)

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