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Beliebt Rechnen >

derivative of e^{((x^2)/2})

Lösung

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

Lösung

e^{\frac{x ^{2}}{2}} x

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

y^{''}-4y^'+4y=t^3y^0

(d^2)/(dx^2)(e^{3x}cos(2x))

derivative of 9sin(xcos(x))

inverselaplace 1/(s^2+2^2)

(dx)/(dt)=-(5x)/(100)