Let
Determine the intervals on which is concave up and concave down. Enter a list of intervals separated by commas. If there is no such interval, enter “None”.
interval
is concave up on:
is concave down on:
Based on your answer to part (a), determine the inflection points of .
Each point should be entered as an
ordered pair
(that is, in the form ).
(Separate multiple answers by commas.)
Find the critical numbers of and use the Second Derivative Test, when possible, to determine the relative extrema. List only the -coordinates.
Relative maxima at
(Separate multiple answers by commas.)
Relative minima at
(Separate multiple answers by commas.)
You can earn partial credit on this problem.