Checkpoint 1

• Calculate the differential ${\displaystyle dy}$ for the function ${\displaystyle y=2x{e}^x.}$

• Use the differential to estimate the change in ${\displaystyle y}$ as ${\displaystyle x}$ increases from ${\displaystyle 1}$ to ${\displaystyle 1.1.}$

• Compare your estimate with the actual change in ${\displaystyle y.}$