$\displaystyle f(x) = x^3 - x + 1 $

a) Find approximate x values for max/min points.

b) Set up a table showing intervals of increase or decrease and the slope of the tangent on those intervals.

c) Set up a table of values showing "x" and its corresponding “slope of tangent” for at least 7 points

d) Sketch the graph of the derivative using the table of values from (c)