Step 2 Differentiate the given function y with respect to x. y' = 7x -7 The possible relative extrema can be found by setting y' equal to zero, and are as follows. We will need to check test intervals to determine if these are actual extrema. (x, y) = (-1,6 -1.6 (smaller x-value) (x, y) = (1,6 1.-6 (larger x-value) Step 3 Earlier we found that y' = 7x6 - 7. Differentiate y' with respect to x. y" = So, y" 0 when x = , and the possible point of inflection is as follows. We will need to check test intervals to determine if it is an actual inflection point. (x, y) = (