derivative of ln(5x+4)

Lösung

\frac{d}{d x} (ln (5 x + 4))

\frac{5}{5 x + 4}

Schritte zur Lösung

\frac{d}{d x} (ln (5 x + 4))

Wende die Kettenregel an:

\frac{1}{5 x + 4} \frac{d}{d x} (5 x + 4)

= \frac{1}{5 x + 4} \frac{d}{d x} (5 x + 4)

\frac{d}{d x} (5 x + 4) = 5

= \frac{1}{5 x + 4} \cdot 5

Vereinfache

\frac{1}{5 x + 4} \cdot 5 : \frac{5}{5 x + 4}

= \frac{5}{5 x + 4}

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