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Beliebt Rechnen >

derivative of 3e^{1-x^2}

Lösung

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

Lösung

- 6 e^{1 - x^{2}} x

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= 3 e^{1 - x^{2}} (- 2 x)

Vereinfache

= - 6 e^{1 - x^{2}} x

Graph

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