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人気のある微分積分 >

derivative f(x)=cos(a^8+x^8)

解

導関数

f (x) = cos (a^{8} + x^{8})

解

- sin (a^{8} + x^{8}) \cdot 8 x^{7}

解答ステップ

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

連鎖法則を適用:

- sin (a^{8} + x^{8}) \frac{d}{d x} (a^{8} + x^{8})

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

\frac{d}{d x} (a^{8} + x^{8}) = 8 x^{7}

= - sin (a^{8} + x^{8}) \cdot 8 x^{7}

グラフ

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