Use the Maximum/minimum Finder on a Graphing Calculator to Determine $$f ( x ) = x ^ { 5 } - 15 x ^ { 4 } - 3 x ^ { 3 } - 172 x ^ { 2 } + 135 x - 0.037$$

Multiple Choice

Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
- $$f ( x ) = x ^ { 5 } - 15 x ^ { 4 } - 3 x ^ { 3 } - 172 x ^ { 2 } + 135 x - 0.037$$

A) Approximate local maximum at 0.44; approximate local minimum at -12.521
B) Approximate local maximum at 0.379; approximate local minimum at 12.565
C) Approximate local maximum at 0.464; approximate local minima at -0.462 and -12.517
D) Approximate local maximum at 0.379; approximate local minima at -0.472 and 12.565