2 For an unknown function g x we have the following derivative g x 5x3 20x a Find the critical points of g x b Create a well labeled number line for the first derivative test Clearly label whether each critical point from a is a local max local min or neither c Find the second derivative of g x and then explain how to use the second derivative test to determine whether 0 is a local maximum or a local minimum Write a sentence or two d Find the inflection points of g x Provide exact answers not decimal approximations e Using the evidence from above sketch a possible graph for g x Label your critical points and inflection points