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Beliebt Rechnen >

derivative of sqrt(2-3x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

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