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人気のある微分積分 >

derivative of ln(e^{4x+1})

解

\frac{d}{d x} (ln (e^{4 x + 1}))

解

4

解答ステップ

\frac{d}{d x} (ln (e^{4 x + 1}))

簡素化

ln (e^{4 x + 1}) : 4 x + 1

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

和/差の法則を適用:

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

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

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

\frac{d}{d x} (1) = 0

= 4 + 0

簡素化

= 4

グラフ

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