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Beliebt Rechnen >

derivative of e^{(x^2})

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

integral of (x+4)/(x^2+8x)

\int \frac{x + 4}{x ^{2} + 8 x} d x

x y^{^{'}} + y = 2 x

limit as x approaches-infinity of xe^x

x \to - \infty lim (x e^{x})

limit as x approaches 0 of 3/(1+e^{1/x)}

x \to 0 lim (\frac{3}{1 + e ^{\frac{1}{x}}})

integral of (x^2)/(9-x^2)

\int \frac{x ^{2}}{9 - x ^{2}} d x