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