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Homework 12 Math 1100 Name: 30 September, 2013 1I 1. Let f(x)=x 2x 3 (a) (4 points) Find f’(x). (b) (4 points) Find f”(x). .1’(x c,x f. (c) (4 points) Find all critical values of —ZQ 1 x 3 3i 2. y 27 (d) (4 points) On what intervals is I f(x) concave up? f > H() (i) v1 50 (e) (4 points) On what intervals is (.or’ (-00,0) , f(x) concave down? So (x) ,s coy1cc (f) (4 points) Find all relative maximum points of f(x). Give the point, not just the -value. Justify your answer with reference to the second derivative and/or the concavity of the function. c “(-r) X: ‘- 3J ‘% - - _ 3 1 L’ r3j 2I--l o) (- ‘33 j3 (g) (4 points) Find all relative minimum points of f(x). Give the point, not just the rvalue. Justify your answer with reference to the second derivative and/or the concavity of the function. 5 rrTz + (-7’ç I f-Co Ias - Hi t; 21z.. - (.‘—1.9) (h) (4 points) Draw the graph of f(x) on the axes below. IMI)111,)1WI x=. /::