1) a) Find all the critical points of the function 1 4 1 3 = a: = :z: :c 15. y f ( ) 4 3 + b) For each critical point, use the second and (Where necessary) higher derivative tests to determine Whether it is a local maximum, a local minimum, or an inection point. c) For each local maximum (local minimum) you found in part b), determine Whether the second derivative test implies that it is also a global maximum (respectively global minimum)