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人気のある微分積分 >

derivative of 3x^2-18x+15

解

\frac{d}{d x} (3 x^{2} - 18 x + 15)

解

6 x - 18

解答ステップ

\frac{d}{d x} (3 x^{2} - 18 x + 15)

和/差の法則を適用:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (18 x) + \frac{d}{d x} (15)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (18 x) = 18

\frac{d}{d x} (15) = 0

= 6 x - 18 + 0

簡素化

= 6 x - 18

グラフ

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