Question

Differentiate with respect to x $\frac{(1+x)}{e^x}$

• A. $-x{e}^{-x}$
• B. $x{e}^{-x}$
• C. $-x{e}^{-2x}$
• D. $x^2{e}^{-x}$

Answer 1

The correct option is A $-x{e}^{-x}$

Given, $y=\frac{(1+x)}{e^x}$

Differentiating by using quotient rule, we get
$y^{\prime }=\frac{e^x-(1+x)e^x}{e^{2x}}$

$=-x{e}^{-x}$