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Beliebt Rechnen >

derivative of sqrt((2-x^3))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

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