Question

Consider the function g(x) = 1 20 x 5 − 1 4 x 4 − 1. (a) (2 pts) Find the second derivative f 00(x). 4(a). (b) (2 pts) Find any partition numbers of f 00(x). 4(b). (c) (4 pts) Construct a sign chart and find the intervals on which f(x) is concave up or concave down. Concave Up: Concave Down: (d) (4 pts) Find any inflection points of f(x). Represent your answer(s) as a point (x, y).