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人気のある微分積分 >

derivative of sin((5x^2+8^8))

解

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

解

cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

解答ステップ

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

連鎖法則を適用:

cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

= cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

\frac{d}{d x} ((5 x^{2} + 8)^{8}) = 80 x (5 x^{2} + 8)^{7}

= cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

グラフ

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