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人気のある微分積分 >

derivative of sqrt(3x-x^2)

解

\frac{d}{d x} (3 x - x^{2})

解

\frac{3 - 2 x}{2 3 x - x ^{2}}

解答ステップ

\frac{d}{d x} (3 x - x^{2})

連鎖法則を適用:

\frac{1}{2 3 x - x ^{2}} \frac{d}{d x} (3 x - x^{2})

= \frac{1}{2 3 x - x ^{2}} \frac{d}{d x} (3 x - x^{2})

\frac{d}{d x} (3 x - x^{2}) = 3 - 2 x

= \frac{1}{2 3 x - x ^{2}} (3 - 2 x)

簡素化

\frac{1}{2 3 x - x ^{2}} (3 - 2 x) : \frac{3 - 2 x}{2 3 x - x ^{2}}

= \frac{3 - 2 x}{2 3 x - x ^{2}}

グラフ

人気の例

integral from 0 to pi/(26) of tan(13x)

\int_{0}^{\frac{π}{26}} tan (13 x) d x

5x^2y^'=y^'+2xe^{-y}

5 x^{2} y^{^{'}} = y^{^{'}} + 2 x e^{- y}

y^{''}+4y^'+13y=0,y(0)=7,y(0)=7,y^'(0)=7

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = 7, y (0) = 7, y^{^{'}} (0) = 7

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