How to calculate the derivative of (2x-1) e ^ 2x~

How to calculate the derivative of (2x-1) e ^ 2x~

((2x-1)e^2x)'=(2x-1)' * e^2x + (2x-1) * (e^2x)'
=2e^2x + (2x-1) * (e^2x * (2x)')
=2e^2x + (2x-1) * (e^2x * 2)
=(2 + 2 * (2x-1)) * e^2x
=4x * e^2x