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人気のある微分積分 >

derivative 5/(\sqrt[5]{t)}+5t

解

導関数

\frac{5}{5 t} + 5 t

解

- \frac{1}{t ^{\frac{6}{5}}} + 5

解答ステップ

\frac{d}{d t} (\frac{5}{5 t} + 5 t)

和/差の法則を適用:

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

= \frac{d}{d t} (\frac{5}{5 t}) + \frac{d}{d t} (5 t)

\frac{d}{d t} (\frac{5}{5 t}) = - \frac{1}{t ^{\frac{6}{5}}}

\frac{d}{d t} (5 t) = 5

= - \frac{1}{t ^{\frac{6}{5}}} + 5

グラフ

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