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人気のある微分積分 >

derivative of sqrt(7+9x)

解

\frac{d}{d x} (7 + 9 x)

解

\frac{9}{2 7 + 9 x}

解答ステップ

\frac{d}{d x} (7 + 9 x)

連鎖法則を適用:

\frac{1}{2 7 + 9 x} \frac{d}{d x} (7 + 9 x)

= \frac{1}{2 7 + 9 x} \frac{d}{d x} (7 + 9 x)

\frac{d}{d x} (7 + 9 x) = 9

= \frac{1}{2 7 + 9 x} \cdot 9

簡素化

\frac{1}{2 7 + 9 x} \cdot 9 : \frac{9}{2 7 + 9 x}

= \frac{9}{2 7 + 9 x}

グラフ

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