Having issues w 4-6
Y = 1-2X2 -X X -1.667 -1.333 -.667 -333 333 .667 0. 0746 - 0.1952 D 10. 406 94 . 8157 20-. 1865 dy/dx 1- 33 3 999 O -1.465 - 4-003 day/dx2 6.002 /3.998 N O - 2.002 - 4 - 5:998 - 8. 002 A function is given above. The table gives several pre-selected values of the independent variable (X). Use all of the (X) values to have enough to answer questions for this assignment. 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: va. Correctly finding the first derivative of the given function. Write dy/dx here - 4 x - 3xZ Show how you found the derivative on the worksheet (the derivative is half the credit for this question). Using the derivative from (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 dy/dx row for the X value only where dy/dx = 0. There may be none, one, or two such. (the dy/dx = 0 values are the other half credit for this question). Find additional critical values among the X values by: Ca. Correctly finding the second derivative of the given function. Write day/dx2 here - 4 - 6x Show how you found this second derivative on the worksheet (the second derivative is half the credit for this question). J. Using the second derivative from (3a) solve it for all the X values that make day/dx2 equal zero. Show your work on the worksheet and also write "0" in the cell of the day/dx2 row for the X value(s) only where day/dx? = 0. There may be one, or two such. (the day/dx2 = 0 values are the other half credit for this question). Read the signals given by the critical derivative values above. (NOTE: do not consider the first or the last X value as being among the critical values). 4. Are there MAXIMUMS among the X,Y pairs? If so, then the pair's dy/dx = 0 and also its d'y/dx2 will be a negative (-) value for each such X, Y pair. What are the X values and also the day/dx2 values? There may be none, one, or two maximums. Write your values below: Value of X Value of its d'y/dx2 5. Are there MINIMUMS among the X,Y pairs? If so, then the pair's dy/dx = 0 and also its d' y/dx will be a positive (+) value for each such X, Y pair. What are the X values and also the day/dx values? There may be none, one, or two minimums. Write your values below: Value of X Value of its d'y/dx2 6. Are there INFLECTION points among the X,Y pairs? If so, then the pair's dy/dx may or may not equal zero. However, day/dx2 at each will be zero (0) for each such X, Y pair. What are the X values and also the day/dx2 values? There may be one, or two inflections. Write your values below: Value of X Value of its day/dx2 References: A tutorial at the top of the Blackboard page that contains the twelve versions and Power
