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人気のある微分積分 >

derivative of e^{tanh(2x})

解

\frac{d}{d x} (e^{t a n h (2 x)})

解

e^{t a n h (2 x)} sech^{2} (2 x) \cdot 2

解答ステップ

\frac{d}{d x} (e^{t a n h (2 x)})

連鎖法則を適用:

e^{t a n h (2 x)} \frac{d}{d x} (tanh (2 x))

= e^{t a n h (2 x)} \frac{d}{d x} (tanh (2 x))

\frac{d}{d x} (tanh (2 x)) = sech^{2} (2 x) \cdot 2

= e^{t a n h (2 x)} sech^{2} (2 x) \cdot 2

グラフ

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