Find locations (ordered pairs) of all absolute extrema for the following function with the specific domain.
Domain: [0,3]
What do i do after this to find the absolute extrema (min,max)
Thanks!
Note that your derivative simplifies to
Since never equals zero, we must consider where it is undefined. This is when . Since we can't consider it to be a critical point.
Since the interval of interest is a closed interval, consider the value of the function at the endpoints:
Thus, the absolute maximum is at and the absolute minimum is at .
Does this make sense?