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Beliebt Rechnen >

derivative of e^{3-x^2}

Lösung

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

Lösung

- 2 e^{3 - x^{2}} x

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= e^{3 - x^{2}} (- 2 x)

Vereinfache

= - 2 e^{3 - x^{2}} x

Graph

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