c) Calculate and classify any critical points and any points of inflection. Examine the concavity of the function. d) Use your analysis from above to sketch the graph of the function. X 4 2 study source was downloaded by 100000862360501 from CourseHero.com on 04-14-2023 19:06:33 GMT -05:00 inThinking (14 marks) 1 . Complete the following analysis for the function f (x) = 6x--2 x3 Note that the first and second derivatives have already been calculated for you! -6x2+6 12x4 - 24 f' (x) = - f" (x ) = x5 a) Determine the equations of all asymptotes. b) Calculate the x- and y-intercepts