Find the critical points and the intervals on which the function f(x) = (x³ - 2x) e* + 8 is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) the critical numbers with local minimum: the critical numbers with local maximum: (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed.) the function is increasing on the function is decreasing on to Calcu

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A: Topic:- application of derivatives