Matematika

Pertanyaan

y = cos²x
d²y/dx² = .....

2 Jawaban

  • berikut penyelesaiannya.....
    Gambar lampiran jawaban fadillahnasti
  • y = cos²x
    misal u=cos x
    dy/dx = dy/du . du/dx
    =d(u²)/du . d(cos x)/dx
    =2 u . sin x
    dy/dx = 2 cos x sin x = sin 2x

    d²y / dx² = d/dx (dy/dx)
    =d/dx (sin 2x)
    misal u = 2x
    d/dx (sin 2x) = d/du (sin u) . d/dx (2x)
    = cos u . 2
    = 2 cos 2x ...

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