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人気のある微分積分 >

derivative of log_{10}(e^x)

解

\frac{d}{d x} (lo g_{10} (e^{x}))

解

lo g_{10} (e)

+1

十進法表記

0.43429 \dots

解答ステップ

\frac{d}{d x} (lo g_{10} (e^{x}))

簡素化

lo g_{10} (e^{x}) : lo g_{10} (e) x

= \frac{d}{d x} (lo g_{10} (e) x)

定数を除去:

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

= lo g_{10} (e) \frac{d x}{d x}

共通の導関数を適用:

\frac{d x}{d x} = 1

= lo g_{10} (e) \cdot 1

簡素化

= lo g_{10} (e)

グラフ

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