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Beliebt Rechnen >

d/(ds)(ln(s^2+9))

Lösung

\frac{d}{d s} (ln (s^{2} + 9))

Lösung

\frac{2 s}{s ^{2} + 9}

Schritte zur Lösung

\frac{d}{d s} (ln (s^{2} + 9))

Wende die Kettenregel an:

\frac{1}{s ^{2} + 9} \frac{d}{d s} (s^{2} + 9)

= \frac{1}{s ^{2} + 9} \frac{d}{d s} (s^{2} + 9)

\frac{d}{d s} (s^{2} + 9) = 2 s

= \frac{1}{s ^{2} + 9} \cdot 2 s

Vereinfache

\frac{1}{s ^{2} + 9} \cdot 2 s : \frac{2 s}{s ^{2} + 9}

= \frac{2 s}{s ^{2} + 9}

Graph

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