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人気のある微分積分 >

derivative y=8e^{17t}

解

導関数

y = 8 e^{17 t}

解

136 e^{17 t}

解答ステップ

\frac{d}{d t} (8 e^{17 t})

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{d}{d t} (e^{17 t})

連鎖法則を適用:

e^{17 t} \frac{d}{d t} (17 t)

= e^{17 t} \frac{d}{d t} (17 t)

\frac{d}{d t} (17 t) = 17

= 8 e^{17 t} \cdot 17

簡素化

= 136 e^{17 t}

グラフ

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