Question 2 and Question 3

2. In each case, find the critical numbers of f(x). Then use the second derivative test to decide whether the critical numbers lead to relative extrema. If f"(c) = 0 or f"(c) does not exist for a critical number c; then the second derivative test gives no information. In this case, use an alternative method instead (for example the first derivative test). (a) f(x) =13 -622 +7 (b) f (x) = 13+ 23 3. Let f(x) = x4 - 4x3 + 21. Determine the following features of f: domain, intercepts, intervals where f is increasing or decreasing, relative extrema, intervals where f is concave upward or concave downward, inflection points. Use all those features to sketch the graph of f