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Beliebt Rechnen >

derivative of e^{x^2}+1

Lösung

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

Lösung

2 e^{x^{2}} x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= e^{x^{2}} \cdot 2 x + 0

Vereinfache

= 2 e^{x^{2}} x

Graph

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