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Beliebt Rechnen >

derivative of ln(3x^2+7)

Lösung

\frac{d}{d x} (ln (3 x^{2} + 7))

Lösung

\frac{6 x}{3 x ^{2} + 7}

Schritte zur Lösung

\frac{d}{d x} (ln (3 x^{2} + 7))

Wende die Kettenregel an:

\frac{1}{3 x ^{2} + 7} \frac{d}{d x} (3 x^{2} + 7)

= \frac{1}{3 x ^{2} + 7} \frac{d}{d x} (3 x^{2} + 7)

\frac{d}{d x} (3 x^{2} + 7) = 6 x

= \frac{1}{3 x ^{2} + 7} \cdot 6 x

Vereinfache

\frac{1}{3 x ^{2} + 7} \cdot 6 x : \frac{6 x}{3 x ^{2} + 7}

= \frac{6 x}{3 x ^{2} + 7}

Graph

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