Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=x$ and $g=e^x$
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$\frac{d}{dx}\left(x\right)e^x+x\frac{d}{dx}\left(e^x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of xe^x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^x. The derivative of the linear function is equal to 1. Any expression multiplied by 1 is equal to itself. Applying the derivative of the exponential function.