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人気のある微分積分 >

derivative e^{5sqrt(x)}

解

導関数

e^{5 x}

解

\frac{5 e ^{5 x}}{2 x}

解答ステップ

\frac{d}{d x} (e^{5 x})

連鎖法則を適用:

e^{5 x} \frac{d}{d x} (5 x)

= e^{5 x} \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x) = \frac{5}{2 x}

= e^{5 x} \frac{5}{2 x}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{5 e ^{5 x}}{2 x}

グラフ

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