Instructions: Answer all questions. Neatness and an orderly presentation is required. Do all problems. This assignment is due on April 26 at the beginning of class. (25 points) For the function
y=x^(3)-6x^(2)-1
, use the first and second derivative tests to (a) determine the intervals of increase and decrease. (b) determine the local (relative) maxima and minima. (c) determine the intervals of concavity. (d) determine the point(s) of inflection. (e) sketch the graph with the above information indicated on the graph.