derivative of ln(8x+7)

解答

\frac{d}{d x} (ln (8 x + 7))

\frac{8}{8 x + 7}

求解步骤

\frac{d}{d x} (ln (8 x + 7))

使用连锁律:

\frac{1}{8 x + 7} \frac{d}{d x} (8 x + 7)

= \frac{1}{8 x + 7} \frac{d}{d x} (8 x + 7)

\frac{d}{d x} (8 x + 7) = 8

= \frac{1}{8 x + 7} \cdot 8

化简

\frac{1}{8 x + 7} \cdot 8 : \frac{8}{8 x + 7}

= \frac{8}{8 x + 7}

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