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Beliebt Rechnen >

derivative of sqrt(3x^2-1)

Lösung

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

Lösung

\frac{3 x}{3 x ^{2} - 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x^{2} - 1) = 6 x

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

Vereinfache

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

= \frac{3 x}{3 x ^{2} - 1}

Graph

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