$2+2 25111. Consider the equation f (as) = For the questions below, show all analytical work and all steps. 2 2 1 a) Verify that the derivative of f (3:) is f' (51:) = W, i.e. nd the derivative analyti- cally and compare your work with the answer given. b) Find the critical numbers of f (:0) c) Stated an interval so that a critical point is contained within the interval (it is not the interval endpoint). Find the absolute extrema on this interval. CI) Explain why we cannot guarantee absolute extrema on an interval that contains both of the critical numbers. Reference any properties and/ or theorems from this section. Your solution should show your understanding of o nding critical points by hand with the aid of a calculator o the meaning of \"absolute extrema value\" and \"location of absolute extrema.\" I the difference between absolute extrema and local extrema