Differentiate.

$y=x{e}^{-2x}+2e^{-x}+x^5$

Choose the correct answer below.

$A.\frac{dy}{dx}=-2x{e}^{-2x}-e^{-2x}-2e^{-x}+5x^4$

$B.\frac{dy}{dx}=-2x{e}^{-2x}+e^{-2x}-2e^{-x}-5x^4$

$C.\frac{dy}{dx}=-2x{e}^{-2x}+e^{-2x}+2e^{-x}+5x^4$

$D.\frac{dy}{dx}=-2x{e}^{-2x}+e^{-2x}-2e^{-x}+5x^4$