What is (\partial)/(\partial x)(xe^x+2) ?

The answer to (\partial)/(\partial x)(xe^x+2) is e^xx+e^x

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

(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

Simplify

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

y = (5 x + 2)^{5}

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

x^{3} + x

{\frac{1}{( s - 4 ) ^{6}}}

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

What is (\partial)/(\partial x)(xe^x+2) ?
The answer to (\partial)/(\partial x)(xe^x+2) is e^xx+e^x