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人気のある微分積分 >

derivative of tanh(1+e^{4x})

解

\frac{d}{d x} (tanh (1 + e^{4 x}))

解

sech^{2} (1 + e^{4 x}) \cdot 4 e^{4 x}

解答ステップ

\frac{d}{d x} (tanh (1 + e^{4 x}))

連鎖法則を適用:

sech^{2} (1 + e^{4 x}) \frac{d}{d x} (1 + e^{4 x})

= sech^{2} (1 + e^{4 x}) \frac{d}{d x} (1 + e^{4 x})

\frac{d}{d x} (1 + e^{4 x}) = 4 e^{4 x}

= sech^{2} (1 + e^{4 x}) \cdot 4 e^{4 x}

グラフ

人気の例

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x \to - \infty lim (3 x^{2} + 1)

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