6. Find the absolute maximum and minimum values of the function on the given interval. g(0)=sin - sin 0, [0,/2] 7. Find the local maximum and minimum values of f(x) C - x+1 8. A function and its first two derivatives are given. Find the indicated information below. f(x) = 4(x- 1) 3+1 f'(x) = 24x2 (x3 + 1) S"(x) = 18x (1 -2x3) (x+1)3 (a) Intervals of Increasing/Decreasing (b) Local maximum and minimum values 9. A function and its first two derivatives are given. Find the indicated information below. g(2) = x(5 a)2/3 g'(x) = 5(3-x) 3(5 - x) 1/3 9" (x) = 10(x-6) 9(5 - x)4/3 (a) Intervals of Concavity (b) Inflection points 10. Use the information given for a function h below to sketch a graph of h. Domain of h is [-5, 5] . The intercepts are (-5, 0), (0, 0), (5, 0) There are no asymptotes h is increasing on (-3, 3) and decreasing on (-5,-3) U (3, 5) h has a local minimum at (-3,-2) and a local maximum at (3,2) h is concave up on (-5,0) and concave down on (0,5) h has an inflection point at (0,0)