13. [-/2 Points] DETAILS If U and V are positive constants, find the critical point of the function. Use upper case letters. F(t) = Uet + Vet t = 14. [-/4 Points] DETAILS Find all critical points of g(t) = 15t /5 + t and classify each as a local minimum, local maximum, or neither. (smaller value) This critical point is ---Select--- t = (larger value) This critical point is ---Select--- Type here to search ELL9. [-/1 Points] DETAILS For a function f whose domain is all real numbers, if f'(p) = 0, then f(x) has a local minimum or local maximum at x = p. O True O False 10. [-/1 Points] DETAILS For a function f whose domain is all real numbers, if f "(p) = 0, then the graph of f has an inflection point at x = p. O True O False 11. [-/1 Points] DETAILS For a continuous function f whose domain is all real numbers, if f'(p) is undefined, then x = p could be a local maximum or minimum of f. O True O False Type here to search Owebassign.net/web/Student/Assignment- [-/8 Points] DETAILS Use f(x) = x - bln(x) to answer the questions below. Assume b is a positive constant and x > 0. (a) Find f '(x) = (b) Find the critical point of f(x) . Your answer may have b in it. X = (c) Find f "(x) = (d) Follow the steps to perform the Second Derivative Test. Evaluate the second derivative at the critical point: f"( The value of the second derivative at the critical point is ---Select-- v . This means that f(x) is --Select- at the critical point and therefore the critical point is ---Select--- of f (x) . 13. [-/2 Points] DETAILS Type here to search