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Beliebt Rechnen >

derivative sqrt(2x^3-3)

Lösung

ableitung von

2 x^{3} - 3

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

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