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人気のある微分積分 >

d/(dt)(e^t+e^{-t})

解

\frac{d}{d t} (e^{t} + e^{- t})

解

e^{t} - e^{- t}

解答ステップ

\frac{d}{d t} (e^{t} + e^{- t})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (e^{t}) + \frac{d}{d t} (e^{- t})

\frac{d}{d t} (e^{t}) = e^{t}

\frac{d}{d t} (e^{- t}) = - e^{- t}

= e^{t} - e^{- t}

グラフ

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