DERIVATIVE APPLICATION EXERCISEName ___Jodi Armstrong_______ Due April 7 2019_____ (worth 50 points + 20 bonus points)Calculate the Y values corresponding to the X values given below.Find the critical values for X forthe given polynomial by finding the X values among those given where the first derivative, dy/dx = 0 and/or X values where the second derivative, d2y/dx2= 0. Be sure to find the sign (+ or -) of dy/dx and of d2y/dx2at all X values. Reference Lesson 13 and the text Appendix A (pp 694 – 698), as needed. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX), which minimums (MIN) and which inflection points (INF). Label the qualifying X value as such. Attach work to convince me you carried out these calculations. An Excel spreadsheet can make calculations easier. If used, please attach the spreadsheet file and upload it with the rest of your work so that I can examine your formulas.