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人気のある微分積分 >

derivative of x^4-9x+6

解

\frac{d}{d x} (x^{4} - 9 x + 6)

解

4 x^{3} - 9

解答ステップ

\frac{d}{d x} (x^{4} - 9 x + 6)

和/差の法則を適用:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (9 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (6) = 0

= 4 x^{3} - 9 + 0

簡素化

= 4 x^{3} - 9

グラフ

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