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Beliebt Rechnen >

derivative y=ln(9+x^2)

Lösung

ableitung von

y = ln (9 + x^{2})

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

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