Answer the following questions about the function whose derivative is f'(x) = 3x(x - 2). a. What are the critical points off? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does fassume local maximum and minimum values? Answer the following questions about the function whose derivative is f'(x) = (x - 5)(x + 9)(x 7). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does fassume local maximum and minimum values? Answer the questions below about the function whose derivative is (x - 5)(x + 8) mii -2,7. f'(x) = a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does fassume local maximum and minimum values? (a) Find the open intervals on which the function shown in the graph is increasing and decreasing. (b) Identify the function's local and absolute extreme values. if any, saying where they occur. 30 6040 2 _2_ 40 40 60 80 a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur h(x) = x3 - x2 a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. f(x) = 5x In xa. Identify the function's local extreme values in the given domain, and say where they occur. b. Graph the function over the given domain. Which of the extreme values, if any, are absolute? f(x) = (x - 3)2, - 00 0 for x 4 (b) f'(x) 0 for x > 4 (c) f'(x) > 0 for x # 4 (d) f' (x) 1. b. Using part (a), show that In x 1. (E a. Where is too increasing? V On intervals where f\" is positive On intervals where f is positive On intervals where f\" is negative On intervals where f is negative Find 1&quot