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Beliebt Rechnen >

derivative of ln(sqrt(9-x^2))

Lösung

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

Lösung

- \frac{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}) = - \frac{x}{9 - x ^{2}}

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

Vereinfache

\frac{1}{9 - x ^{2}} (- \frac{x}{9 - x ^{2}}) : - \frac{x}{9 - x ^{2}}

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^2+y^2+z^2-1)

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 1)

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