derivative of ln(6-x)

Lösung

\frac{d}{d x} (ln (6 - x))

- \frac{1}{6 - x}

Schritte zur Lösung

\frac{d}{d x} (ln (6 - x))

Wende die Kettenregel an:

\frac{1}{6 - x} \frac{d}{d x} (6 - x)

= \frac{1}{6 - x} \frac{d}{d x} (6 - x)

\frac{d}{d x} (6 - x) = - 1

= \frac{1}{6 - x} (- 1)

Vereinfache

= - \frac{1}{6 - x}

\frac{d}{d x} (\frac{( x ^{2} - 8 x + 15 )}{x ^{2} + 3 x + 2})

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