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Beliebt Rechnen >

derivative of-ln(x^2)

Lösung

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

Lösung

- \frac{2}{x}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= - \frac{1}{x ^{2}} \cdot 2 x

Vereinfache

- \frac{1}{x ^{2}} \cdot 2 x : - \frac{2}{x}

= - \frac{2}{x}

Graph

Beliebte Beispiele

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x \to - 19 + lim (k (x))

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