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Suppose you are given a function f(x) = x3 + x2/3. Determine all critical points. Which points are minimums, maximums, and points of inflection? Homework Help ✎

Find the critical points by setting both f '(x) and f "(x) equal to zero and by finding where f '(x) does not exist.

Use your calculator to help you find the exact coordinates of all of the critical points.