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人気のある微分積分 >

derivative of sqrt(2ax-x^2)

解

\frac{d}{d x} (2 a x - x^{2})

解

\frac{a - x}{2 a x - x ^{2}}

解答ステップ

\frac{d}{d x} (2 a x - x^{2})

連鎖法則を適用:

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

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

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

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

簡素化

\frac{1}{2 2 a x - x ^{2}} (2 a - 2 x) : \frac{a - x}{2 a x - x ^{2}}

= \frac{a - x}{2 a x - x ^{2}}

グラフ

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