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人気のある微分積分 >

derivative f(x)=sqrt(2+\sqrt{5x)}

解

導関数

f (x) = 2 + 5 x

解

\frac{5}{4 x 2 + 5 x}

解答ステップ

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

連鎖法則を適用:

\frac{1}{2 2 + 5 x} \frac{d}{d x} (2 + 5 x)

= \frac{1}{2 2 + 5 x} \frac{d}{d x} (2 + 5 x)

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

= \frac{1}{2 2 + 5 x} \cdot \frac{5}{2 x}

簡素化

\frac{1}{2 2 + 5 x} \cdot \frac{5}{2 x} : \frac{5}{4 x 2 + 5 x}

= \frac{5}{4 x 2 + 5 x}

グラフ

人気の例

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