What is the first and second derivative of xe^(2x)?

The derivative of a function xe^(2x) can be determined by applying differential calculus techniques to the equation. In this case, the applicable law is the law of products

y = xe^(2x)
y' = 2x  e^2x + e^2x
y'' = 4x e^2x + 2e^2x + 2 e^2x
Simplifying
y'' = (4x+4) e^2x