Define the function $f$ by the equation
$\qquad f(x)=e^x(x-2)\,$.
The function has one critical number (critical point) at $x=c$.
**What is the numerical value of the critical number $c\,$?**
$c=~$ [[☃ math-keypad 1]]
**Is $\displaystyle~f(c)~$ a local minimum, a local maximum, or neither?**
$f(c)$ is [[☃ dropdown 1]]