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Differentiation : Locate the absolute extrema of the function : f(x) = √(4 - x^2)

Please locate the absolute extrema (maxima and minima) of the function (if any exist) over the indicated intervals.

38. f(x) = √(4 - x^2)
(a) [-2,2]
(b) [-2,0]
(c) [-2,2]
(d) [1,2]

Please solve using the following general method: Find derivative. Use derivative to find critical numbers. Use f to evaluate critical numbers and end points to find absolute extrema.

Solution Summary

Local extrema are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.