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]]