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Beliebt Rechnen >

(\partial)/(\partial x)(xe^x+2)

Lösung

\frac{\partial}{\partial x} (x e^{x} + 2)

Lösung

e^{x} x + e^{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (x e^{x} + 2)

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (x e^{x}) = e^{x} + e^{x} x

\frac{\partial}{\partial x} (2) = 0

= e^{x} + e^{x} x + 0

Vereinfache

= e^{x} x + e^{x}

Beliebte Beispiele

derivative y=(5x+2)^5

d er i v a t i v e y = (5 x + 2)^{5}

derivative of 3/(4x^{5/2})

\frac{d}{d x} (\frac{3}{4 x ^{\frac{5}{2}}})

t an g e n t x^{3} + x

inverselaplace {1/((s-4)^6)}

in v erse l a pl a ce {\frac{1}{( s - 4 ) ^{6}}}

integral from 1 to 7 of 3/(x^2)

\int_{1}^{7} \frac{3}{x ^{2}} d x