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Let f{x) = (x fe. Calculate the rst and the second derivatives of f. (Express numbers in exact form. Use symbolic notation and fractions where

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Let f{x) = (x fe". Calculate the rst and the second derivatives of f. (Express numbers in exact form. Use symbolic notation and fractions where needed.) Incorrect Incorrect Find the local extrema using the First Derivative Test and then the Second Derivative Test. (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if there are no local maxima or(and) local minima.) local maximum value occurs at x = Incorrect local minimum value occurs at x = Incorrect What can be said about the difference between using the First Derivative Test and the Second Derivative Test? The First Derivative Test only requires one derivative. The Second Derivative Test requires fewer steps. The Second Derivative Test requires three derivatives. The First Derivative Test requires fewer steps. Incorrect : Determine the exact values at which inection points occur, if any, of the function f . :1: f(x) = E Give your answer as a comaseparated list. If the function does not have any inection points, enter DNE. Incorrect

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