HELP WITH HOMEWORK PLZ

1) Consider f(x) = 2~x-x 15 points a) Find all intervals of increase and decreasing. b) Find all local maximums and minimums. c) Find the intervals of concavity. d) Find all inflection points. e) Using the information from parts (a)-(d), sketch the graph of f (x) . 2) Using the definition of the derivative (the limit definition), find f'(x) for f (x) =x -x. 10 points 3) Find the derivative of f(x) = etan(2x) 5 points 4) Sketch the graph of a function with the following properties: 8 points lim f(x) =3 lim f(x) =-4 f (3) =0 X-+3+ x-3- lim f(x) =5 lim f(x) =10 f(6)=1 5) Show algebraically that the following function is continuous at x = 0. sin x if x