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人気のある微分積分 >

derivative of 2e^{x-1}

解

\frac{d}{d x} (2 e^{x - 1})

解

2 e^{x - 1}

解答ステップ

\frac{d}{d x} (2 e^{x - 1})

定数を除去:

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

= 2 \frac{d}{d x} (e^{x - 1})

連鎖法則を適用:

e^{x - 1} \frac{d}{d x} (x - 1)

= e^{x - 1} \frac{d}{d x} (x - 1)

\frac{d}{d x} (x - 1) = 1

= 2 e^{x - 1} \cdot 1

簡素化

= 2 e^{x - 1}

グラフ

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