Please do numbers 2, 4, 5, 6, 29*, 30* Please do it on paper because it's really hard to understand when it is written here. Also, please show step by step how you got that answer. Also, I'm going to be posting some examples and it would be really helpful if they can be answered in the same format so I can understand more easily.

The second derivative test for real extrema don't have to be done

Find the relative extrema and points of inflection of the function. List your answers in terms of ordered pairs. Use the Second-Derivative Test, where possible. Then sketch the graph. 1. S(x) = 2 - x2 2. S (x) = x2+ x-1 3. f(x) = 2x3 - 3x2 - 36x + 28 4. f(x) = 3x3 - 36x - 3 5. f(x) = 8x3 - 2x + ; 6. f(x) = 80 - 9x2 - x3 3Find the critical points of the function in the interval [0, 27]. Determine if each critical point is a relative maximum, a relative minimum, or neither. Use the Second-Derivative Test, when possible. Determine the points of inflection in the interval [0, 27]. Then sketch the graph on the interval [0, 27]: 29. f(x) = x + cos 2x 30. f(x) = x - 2 sin x 31. S(x) = X 2x X - sin 3 3 32. f ( x ) =~ + COS 2 33. S(x) = sin x + cos x 34. f(x) = sin x - cos x 35. f(x) = V3 sin x + cos x 36. S(x) = sin x - V3 cos xDate O 2 / 21 1 / 2 2 No (3.2 ) Using Perivatives to find maximum and minimum values and graph Pg # 179 Read 1 ) Definition 2 ) Theorem 4 pg 180 3 ) Theorem 5 Relmax dec inc ConfAve inc. down concave up Relmin Second Derivative test 1) Find f ( x ) 2 ] Let F " ( x ) = 0 , solve for * 3 1 set up the intervals using the " X " values from step 2 . 4 ) Test on f") ( x ) a number within each interval Greater thein kal IF f" ( test number ) 706 then the function is concave up 7 b) If f" ( test number)