Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave up for a € (((-(sqrt(6))/6)), (sqrt(6))/6) (c) f is concave down for a € (-infinity, (-(sqrt(6))/6))U(((sqrt(6))/6), infinity) (d) Using the 2nd derivative test, the local maxima of f occur at x = (e) Using the 2nd derivative test, the local minima of f occur at x =

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