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Let'f be a twice-differentiable function with derivative given by f '(x) = 4x - 24x.Part...

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Let'f be a twice-differentiable function with derivative given by f '(x) = 4x - 24x.Part A: Find the x-coordinate of any possible critical points of f. Show your work.Part B: Find the x-coordinate of any possible inflection points of f. Show your work.Part C: Use the Second Derivative Test to determine any relative extrema and inflection points. Justify your answers. Part D: Iff has only one critical point on the interval [5, 8], what is true about the function f on the interval [5, 8]? Justify your answers.

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