Matematika

Pertanyaan

Tolong dong.. f(x) sin x, g(x) cos(x^2 + 1), (fog) (x) dan turunannya ??

1 Jawaban

  • [tex]f(x)=\sin x \\ g(x)=\cos(x^2+1) \\ (f\circ g)(x)=f(g(x)) \\ (f\circ g)(x)=\sin(\cos(x^2+1)) \\ \\ $Dalil Rantai$ \\ (f\circ g)'(x)=\sin'(\cos(x^2+1))\times \cos'(x^2+1) \times (x^2+1)' \\ (f\circ g)'(x) = \cos(\cos(x^2+1))\times -\sin(x^2+1)\times 2x \\ (f\circ g)'(x)=-2x\sin(x^2+1)\cos(\cos(x^2+1))[/tex]

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