Matematika

Pertanyaan

turunan dari f(x) = akar x sin x

1 Jawaban

  • f(x) = (√x)(sin x)
    u = √x --> u' = 1/2 x^-1/2 = 1/(2√x)
    v = sin x ---> v' = cos x

    f(x) = uv
    f'(x) = u'v + uv'
    f'(x) = (1/(2√x))(sin x) + (√x)(cos x)
    f'(x) = (1/(2√x)) [sin x + 2xcos x]
    f'(x) = (1/(2x))(√x) [sin x + 2xcos x]

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