What is the solution for derivative of y=xe^x ?

The solution for derivative of y=xe^x is y=e^xx-e^x+c_{1}

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Find the Derivative - d/dx y=xe^x

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

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

Solution steps

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

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

then

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}

What is the solution for derivative of y=xe^x ?
The solution for derivative of y=xe^x is y=e^xx-e^x+c_{1}