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人気のある微分積分 >

derivative of x^4-4x^3+10

解

\frac{d}{d x} (x^{4} - 4 x^{3} + 10)

解

4 x^{3} - 12 x^{2}

解答ステップ

\frac{d}{d x} (x^{4} - 4 x^{3} + 10)

和/差の法則を適用:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (10)

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (10) = 0

= 4 x^{3} - 12 x^{2} + 0

簡素化

= 4 x^{3} - 12 x^{2}

グラフ

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