Matematika

Pertanyaan

turunan dari √x dan f(x) = 2x/x²-3x

1 Jawaban

  • Turunan

    1. f(x)= √x = (x)¹/²
    f'(x)= 1/2 (x)⁻¹/² = 1/ (2. x¹/²)
    f ' (x)= 1/(2√x)

    2. f(x)= (2x)/ (x² -3x)
    f(x)= x(2) / x(x -3)
    f(x)= 2/(x-3)

    u = 2  ---> u' = 0
    v = x - 3--> v' =1

    y = u/v --> y' = (u'v - uv') /(v²)
    y' = { 0(x-3) - 2(1)} /(x-3)²
    y' = -2/ (x-3)²

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