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 $g=e^{2x}$
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$\frac{d}{dx}\left(x\right)e^{2x}+x\frac{d}{dx}\left(e^{2x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(xe^(2x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=e^{2x}. The derivative of the linear function is equal to 1. Applying the derivative of the exponential function. The derivative of the linear function times a constant, is equal to the constant.