3. (25 pts) Consider the function f (x) = x4 - 4x3 + 10. a. Find the first and second derivatives of f (x). b. Determine the intervals on which f (x) is increasing and decreasing. C. Determine the intervals on which f (x) is concave up and concave down. d. Classify all critical points as local maxima, minima, or neither. e. Find the (x, y)-coordinates of all the inflection points of f(x)