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人気のある微分積分 >

derivative y=x^4+5x^2-x

解

導関数

y = x^{4} + 5 x^{2} - x

解

4 x^{3} + 10 x - 1

解答ステップ

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

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d x}{d x} = 1

= 4 x^{3} + 10 x - 1

グラフ

人気の例

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x \to 3 - lim (ln x^{2} - 9)

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integral of 1/(x*ln(x^9))

\int \frac{1}{x \cdot ln ( x ^{9} )} d x

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\frac{d}{d x} ((14 x - x^{2})^{3})

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