1. [Graphing with derivatives] Consider the following equation: y = x+[1/(x+1)] (1) for r > -1 and divide the relevant domain into three regions: (1) when -1 > 0. Answer the following questions which will help you plot the graph of (1) on the r-y plane. Remember for each subpart just writing the answer will not guarantee full credit, your answer should include all steps that you used to reach the conclusion that you did. (a) What is the sign of y when -1 -1. (c) Using the definition in (1), obtain a formula for the second derivative day/ dx2 for any > > -1. (d) What is the sign of the derivative dy/ dax in the three regions identified above? (e) What is the sign of the second derivative day/dx2 in the three regions identified above?2. Graph the function f(x) = x - 2x' for r E [-2, 2). [I will do this in class on Wednesday!](f) Using all the information you have in steps (a) through (e), plot the graph of (1) on the r-y plane