For the function g(x) = xv2 - x2 , use Calculus to do each of the following: a) Find the x-values of any local max/min. Be sure to show work which verifies that each is a max or min (sign chart with first derivative or second derivative test). b) Find the intervals on which g is increasing or decreasing. c) Find the x-values of any points of inflection. Be sure to show work which verifies there being a point of inflection (sign chart with second derivative).

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