Matematika

Pertanyaan

Hitunglah nilai dari F'(0) , jika F(x) = sinx cosx

1 Jawaban

  • F(x) = sinx cosx
    u = sinx u' = cos x
    v = cosx v' = -sinx

    F'(x) = u.v' - u'.v
    F'(x) = (sinx)(-sinx) - (cosx)(cosx)
    F'(0) = sin 0 (-sin 0) - (cos 0)(cos 0)
    F'(0) = 0 - (1)(1) = -1

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