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人気のある微分積分 >

d/(dt)(at-tanh(at))

解

\frac{d}{d t} (a t - tanh (a t))

解

a tanh^{2} (a t)

解答ステップ

\frac{d}{d t} (a t - tanh (a t))

和/差の法則を適用:

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

= \frac{d}{d t} (a t) - \frac{d}{d t} (tanh (a t))

\frac{d}{d t} (a t) = a

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

= a - sech^{2} (a t) a

簡素化

a - sech^{2} (a t) a : a tanh^{2} (a t)

= a tanh^{2} (a t)

グラフ

人気の例

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