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人気のある微分積分 >

derivative of 4(e^x^9)

解

\frac{d}{d x} (4 (e^{x})^{9})

解

36 e^{9 x}

解答ステップ

\frac{d}{d x} (4 (e^{x})^{9})

簡素化

4 (e^{x})^{9} : 4 e^{9 x}

= \frac{d}{d x} (4 e^{9 x})

定数を除去:

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

= 4 \frac{d}{d x} (e^{9 x})

連鎖法則を適用:

e^{9 x} \frac{d}{d x} (9 x)

= e^{9 x} \frac{d}{d x} (9 x)

\frac{d}{d x} (9 x) = 9

= 4 e^{9 x} \cdot 9

簡素化

= 36 e^{9 x}

グラフ

人気の例

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