Math 1100 Homework 12 Name: 1. Let f (x) = x3 − 2x (a) (4 points) Find f 0 (x). (b) (4 points) Find f 00 (x). (c) (4 points) Find all critical values of f . (d) (4 points) On what intervals is f (x) concave up? (e) (4 points) On what intervals is f (x) concave down? 30 September, 2013 (f) (4 points) Find all relative maximum points of f (x). Give the point, not just the x-value. Justify your answer with reference to the second derivative and/or the concavity of the function. (g) (4 points) Find all relative minimum points of f (x). Give the point, not just the x-value. Justify your answer with reference to the second derivative and/or the concavity of the function. (h) (4 points) Draw the graph of f (x) on the axes below.