5 ) The following polynomial is given: f(x) = x3 - 6x2+ 9x. I pt a) Find the first and second derivative of f(x). Find the local extrema including y-values. 4 pts b) 2 pts C) Use the Second Derivative Test to check if the extrema are local minima or maxima. Find the x-intercepts. 2 pts e) Find the point(s) of inflection including y-value(s). 2 pts Sketch the graph, according to your points above, Label axes and put units, 2 pts g) From your graph decide where the function is increasing and decreasing and where the 2 pts function is concave up and concave down. Use interval notation for open intervals. increasing concave up: decreasing: concave down: O