$$\text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. }$$
-$$y = \left( x ^ { 2 } - 2 x + 1 \right) e ^ { x }$$
A) $\left( x ^ { 2 } - 1 \right) e ^ { x }$
B) $( 2 x - 2 ) e ^ { x }$
C) $\left( x ^ { 2 } + 4 x - 1 \right) e ^ { x }$
D) $\left( \frac { x ^ { 3 } } { 3 } - 1 x + 1 \right) e ^ { x }$

Question

Quizplus · Accepted Answer

The product rule gives$$y' = (x^2 - 2x + 1)'e^x + (x^2 - 2x + 1)(e^x)'$$$$= (2x - 2)e^x + (x^2 - 2x + 1)e^x$$$$= (x^2 - 1)e^x$$

Find the derivative of y with respect to x,t, or θ, as appropriate. \text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. } Find the derivative of y with respect to x,t, or θ, as appropriate.

$\text { Find the derivative of } y \text { with respect to } x , t , \text { or } \theta \text {, as appropriate. }$