Let f be a function with first derivative defined by f'(x) = 2x^3+x^2—4/x^3+1 for x > 0. It is known that f (0) = 5 and f (3) = 11. What value of x in the open interval (0, 3) satisfies the conclusion of the Mean Value Theorem for f on the closed interval [0, 3]?
