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人気のある微分積分 >

derivative of 4x^5-5x^4

解

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

解

20 x^{4} - 20 x^{3}

解答ステップ

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

和/差の法則を適用:

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

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

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= 20 x^{4} - 20 x^{3}

グラフ

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