Answer:
The absolute maximum and minimum of
on
are 113 and 5.
Step-by-step explanation:
Let be
, the first and second derivatives of the function are, respectively:


Now, let equalize the first derivative to zero and solve the resulting expression:



According to the given interval, only
is a valid outcome. Lastly, this is evaluated in the second derivative expression:


leads to an absolute maximum.


The absolute minimum is determined by evaluating at each extreme of the interval:






The absolute maximum and minimum of
on
are 113 and 5.