Calculate the derivative

Question

Y=xe^x

Answer 1

Y=xe^x

d/dx(y) =d/dx(xe^x)

Use product rule.

d/dx(uv) =u(dv/dx)+v(du/dx)

dy/dx = xd/dx(e^x)+e^xd/dx(x)

         = xe^x+e^x

         = e^x(x+1)