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人気のある微分積分 >

derivative of (sinh(x)/(cosh(x)))

解

\frac{d}{d x} (\frac{sinh ( x )}{cosh ( x )})

解

sech^{2} (x)

解答ステップ

\frac{d}{d x} (\frac{sinh ( x )}{cosh ( x )})

簡素化

\frac{sinh ( x )}{cosh ( x )} : tanh (x)

= \frac{d}{d x} (tanh (x))

共通の導関数を適用:

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

= sech^{2} (x)

グラフ

人気の例

derivative of (x-10/(sqrt(x)-\sqrt{10)})

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\int 12 x^{2} 1 - x^{2} d x

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