Let f(x)=x4+x2, −2≤x≤2.
a. Part 1: (a) Compute f′(x) and find every critical point of f in the open interval (−2,2).
b. Part 2: (b) Use the second derivative to classify each critical point found in part (a).
c. Part 3: (c) Determine the absolute maximum and absolute minimum values of f on [−2,2], stating where each occurs and providing full justification based on your work in parts (a) and (b).