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人気のある微分積分 >

derivative of (x^2-3^5)

解

\frac{d}{d x} ((x^{2} - 3)^{5})

解

10 x (x^{2} - 3)^{4}

解答ステップ

\frac{d}{d x} ((x^{2} - 3)^{5})

連鎖法則を適用:

5 (x^{2} - 3)^{4} \frac{d}{d x} (x^{2} - 3)

= 5 (x^{2} - 3)^{4} \frac{d}{d x} (x^{2} - 3)

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

= 5 (x^{2} - 3)^{4} \cdot 2 x

簡素化

= 10 x (x^{2} - 3)^{4}

グラフ

人気の例

integral of (2x)/(-x^2-1)

\int \frac{2 x}{- x ^{2} - 1} d x

integral of ((2x^4+2\sqrt[5]{x}))/x

\int \frac{( 2 x ^{4} + 2 5 x )}{x} d x

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(dy)/(dt)=-5(y-2)

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