Please revise exercise 1, the instructions are there, and the solutions as well. Follow this grading criteria when grading :

• Justify every step taken by stating any differentiation rule/formula used.
• State also if any other rule/formula is used to simplify the function.
• Identify mistakes, if any, and give any correction needed.

" Exercise 1: PG)= x ( x + 1 ) (x- 2) X = 0 - X -0 Step 1 X - 2 - 0 _ - X - 2 x +1 = 0 -7 7 = -1 * 3 - X - 2 x - F (x) 2 + 1( 2 )- 4 - ( 3 . -2 ) 3x 2 - 2x - 2 = F (x ) 2 . 3 3 x 2- 2x - 2 = 0 - w/ STCP 2 * = 1. 215 X = - 0.948 STep 3 X 5 - x 2 - 2 x / 1. 215 - 1 215 4 - 20.215)--2.112 - 0 . 548 - ( - 0 , 598 ) 8 - 26 - 0 .5 4 8 ) = 0.631 STOP 4 6 ( 1. 213 ) - 2 = 5.29 6 x - 2 = F ( ) 16 ( - 0. 548) - 2 2- 5.288STEP S 6x - 250 X 5 - x2 - 2x 12 + 2 ( 3 ) 3 - ( ) 2 - 26 ) = 6 x - 2 2 . 9 27 27 27 6 6 - 3 - 2 . 9 X = 3 0+ 0 . 3 20 27 - - 0. 740 step 6 ( 0 1 5 ) comcave down (+, p ) comcaul up STep 7 HHHHHHHCalculus I Dr. G Forum 4 - Derivatives and the shape of graphs Use the following steps to answer the following questions. Find the zeros of f [set f (x) = 0 and solve] Find the critical numbers of f [set f'(x) = 0 and solve] Find the critical points [plug the critical numbers into f (x)] Find local min/max [plug the critical numbers into f"(x)] Find the inflection point(s) of f [set f"(x) = 0 and solve, plug the solutions into f (x)] Determine the intervals of increase/decrease Determine the intervals of concavity Find extra points in the graph as needed Exercise 1 Let f (x) = x(x + 1)(x - 2). Find the intervals of increase/decrease, local max/min, intervals of concavity and inflection points. Use them to sketch the graph of the function