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Bantu plisss.. soal turunan trigonometri
Bantu plisss.. soal turunan trigonometri

1 Jawaban

  • Aturan berantai : y= f(x)^n
    y'=n . f(x)^n-1 . f'(x)

    f(x) = sin x + cos x
    n = 2

    y' = 2 (sin x+cos x)^1 (cos x + (-sin x))
    y' = 2 ( cos x+sin x)(cos x-sin x)
    = 2(cos^2 x-sin^2 x)
    = 2 cos 2x
    = 2 ( 2 cos^2 x - 1)
    = 4 cos^2 x - 2