Anyone know how to do this?

Let f be a twice-differentiable function with derivative given by f '(x) = 4x3 + 12x2. Part A: Find the x-coordinate of any possible critical points of 2'. Show your work. (2 points) Part B: Find the x-coordinate of any possible inflection points of 2'. Show your work. (2 points) Part C: Use the Second Derivative Test to determine any relative extrema and inflection points. Justify your answers. (3 points) Part D: If f has only one critical point on the interval [2, 4], what is true about the function fon the interval [2, 4]? Justify your answers. (3 pointS)