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Beliebt Rechnen >

derivative of sqrt(7-2x^2)

Lösung

\frac{d}{d x} (7 - 2 x^{2})

Lösung

- \frac{2 x}{7 - 2 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (7 - 2 x^{2})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (7 - 2 x^{2}) = - 4 x

= \frac{1}{2 7 - 2 x ^{2}} (- 4 x)

Vereinfache

\frac{1}{2 7 - 2 x ^{2}} (- 4 x) : - \frac{2 x}{7 - 2 x ^{2}}

= - \frac{2 x}{7 - 2 x ^{2}}

Graph

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