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人気のある微分積分 >

derivative cos(a^9+x^9)

解

導関数

cos (a^{9} + x^{9})

解

- sin (a^{9} + x^{9}) \cdot 9 x^{8}

解答ステップ

\frac{d}{d x} (cos (a^{9} + x^{9}))

連鎖法則を適用:

- sin (a^{9} + x^{9}) \frac{d}{d x} (a^{9} + x^{9})

= - sin (a^{9} + x^{9}) \frac{d}{d x} (a^{9} + x^{9})

\frac{d}{d x} (a^{9} + x^{9}) = 9 x^{8}

= - sin (a^{9} + x^{9}) \cdot 9 x^{8}

グラフ

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