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For the function y = x 3 − 2x 2 − 1, use the first and...

For the function y = x 3 − 2x 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 points of inflection.

(e) sketch the graph with the above information indicated on the graph.

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