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Beliebt Rechnen >

derivative of y=xe^x

Lösung

\frac{d}{d x} y = x e^{x}

Lösung

y = e^{x} x - e^{x} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = x e^{x}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int x e^{x} d x

\int x e^{x} d x = e^{x} x - e^{x} + c_{1}

y = e^{x} x - e^{x} + c_{1}

Graph

Beliebte Beispiele

derivative derivative of x/2

d er i v a t i v e \frac{d}{d x} (\frac{x}{2})

integral sqrt(X)

in t e g r a l X

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

d er i v a t i v e \frac{d}{d x} (e^{\frac{- x}{2}})

integral f(x)=sin(x)

in t e g r a l f (x) = sin (x)

derivative derivative of cos^2(x)

d er i v a t i v e \frac{d}{d x} (cos^{2} (x))