# Calc2.49

From Example Problems

Find all local minimums and maximums of the function .

All local minimums and maximums will be at critical points. A critical point is a point where the function is defined and the derivative is either or undefined.

A fraction is equal to only when the numerator is equal to . However, is always positive so the derivative is never equal to . It is undefined when but so is the original function. Therefore there are no critical points and no local minimums or maximums.