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Beliebt Rechnen >

derivative of e^{x^2}-x

Lösung

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

Lösung

e^{x^{2}} \cdot 2 x - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

= e^{x^{2}} \cdot 2 x - 1

Graph

Beliebte Beispiele

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