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人気のある微分積分 >

derivative of 4xln(7x-4x)

解

\frac{d}{d x} (4 x ln (7 x) - 4 x)

解

4 ln (7 x)

解答ステップ

\frac{d}{d x} (4 x ln (7 x) - 4 x)

和/差の法則を適用:

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

= \frac{d}{d x} (4 x ln (7 x)) - \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x ln (7 x)) = 4 (ln (7 x) + 1)

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

= 4 (ln (7 x) + 1) - 4

簡素化

4 (ln (7 x) + 1) - 4 : 4 ln (7 x)

= 4 ln (7 x)

グラフ

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