5. Using the graph of the function f(x) =x3 - x + 1 i. Find approximate x values for any local maximum or local minimum points. ii. Set up a table showing intervals of increase or decrease and the slope of the tangent on those intervals. iii. Set up a table of values showing "x" and its corresponding "slope of tangent" for at least 7 points iv. Sketch the graph of the derivative using the table of values from (iii) 6, Find the derivative of the following functions using the lim f(th)-f(x) h-0 h definition of the derivative. a. f (x) = 5x3 b. f(x) = > . Show all your steps. 7. A rocket is fired into the air with an initial velocity of 98 m/s. The height ( h ) of the rocket after t seconds is given by the expression h = 981 - 4.9p. a. What the average rate of change over the first 2 seconds. b. At what point does the rocket reach its maximum height? Show a graphical and algebraic solution. c. Over what intervals is the rocket's height increasing and decreasing