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Beliebt Rechnen >

derivative of ln(x^2+7)

Lösung

\frac{d}{d x} (ln (x^{2} + 7))

Lösung

\frac{2 x}{x ^{2} + 7}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} + 7))

Wende die Kettenregel an:

\frac{1}{x ^{2} + 7} \frac{d}{d x} (x^{2} + 7)

= \frac{1}{x ^{2} + 7} \frac{d}{d x} (x^{2} + 7)

\frac{d}{d x} (x^{2} + 7) = 2 x

= \frac{1}{x ^{2} + 7} \cdot 2 x

Vereinfache

\frac{1}{x ^{2} + 7} \cdot 2 x : \frac{2 x}{x ^{2} + 7}

= \frac{2 x}{x ^{2} + 7}

Graph

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