turunan dari f(x)=2x√x+√x-2/√x
Matematika
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Pertanyaan
turunan dari f(x)=2x√x+√x-2/√x
1 Jawaban
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1. Jawaban Anonyme
f(x) = 2x√x + (√x - 2)/√x
f(x) = 2x^(3/2) + 1 - 2x^-1/2
f'(x) = 2 . 3/2 x^(3/2 - 1) + 0 - (2 . (-1/2) . x^(-1/2 - 1)
f'(x) = 3x^1/2 + x^-3/2
f'(x) = 3√x + 1/(x√x)
f'(x) = (√x)(3 + 1/x²)