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人気のある微分積分 >

derivative of ln(4x+9)

解

\frac{d}{d x} (ln (4 x + 9))

解

\frac{4}{4 x + 9}

解答ステップ

\frac{d}{d x} (ln (4 x + 9))

連鎖法則を適用:

\frac{1}{4 x + 9} \frac{d}{d x} (4 x + 9)

= \frac{1}{4 x + 9} \frac{d}{d x} (4 x + 9)

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

= \frac{1}{4 x + 9} \cdot 4

簡素化

\frac{1}{4 x + 9} \cdot 4 : \frac{4}{4 x + 9}

= \frac{4}{4 x + 9}

グラフ

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