Question

If y =3xe^-x find first deriavative

Answer 1

Answer:

$\frac{dy}{dx} =3e^{-x}(1-x)$

Step-by-step explanation:

$y=3xe^{-x}$

differentiating with respect to x

$\frac{dy}{dx} =3{x. e^{-x}(-1)+e^{-x} \times 1}$

$\frac{dy}{dx} =3[e^{-x}-xe^{-x}]$

$\frac{dy}{dx} =3e^{-x}(1-x)$