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Identify the maxima and minima of .

Find CANDIDATES for maxima and minima by setting the first derivative equal to .

Decide if each candidate is a maximum, minimum or neither. You could check for slope change by evaluating the 1st-derivative at points close to each candidate. You could evaluate each candidate in the 2nd-derivative. If the graph is concave up, it cannot have a local max. And vice versa.

Recall that maxima and minima are -values, not -values. So use to find the -value of each candidate.

is a local maximum, is a local minimum, is a local maximum, and is the global maximum. There is no global minimum.