1. Calculate the Y value corresponding to each X value in the table. Write the Y value and its sign (+ or -) calculated in the cell below its X value. Pick any three of the X values and on a separate worksheet, show how you calculated its Y value. Use these X,Y pairs also if you chose to do the bonus option. 2. Find the critical values among the given X values by: a. Correctly finding the first derivative of the given function. Write dys'dx here Show how you found the derivative on the worksheet (the derivative is half the credit for this question). b. Using the derivative frorn (2a) solve it for all the X values that make the derivative equal zero. Show your work on the worksheet and also write "0" in the cell of the dyfdx row for the X value only where dyr'dx = 0. There may be none, one, or two such. (the dyr'dx = 0 values are the other half credit for this question). 3. Find additional critical values among the X values by: a. Correctly finding the second derivative of the given function. Write d2yfdx2 here Show how you found this second derivative on the worksheet (the second derivative is half the credit for this question). b. Using the second derivative from (3a) solve it for all the K values that make dZyIdx2 equal zero. Show your work on the worksheet and also write "0" in the cell of the di'yfdJ-r2 row for the X value(s) only where dZyIdXZ = 0. There may be one, or two such. (the d2yfdx2= 0 values are the other half credit for this question)