Chapter Review pp. 379 - 380 #8, 14, 32, 36 A. 2 X f ( x) 1/2 -8 -2 0 2 5 Graph of f'(x) The graph above shows the derivative of a twice-differentiable function f. Selected values of f(x) are given in the table above. Let the twice-differentiable function gbe defined as g(x) = x . f(x) + [[f()di]. (a) Find g(3) and g'(3). (b) Evaluate lim 2g(x)+23 x-//2 4x2 -1 (c) Identify the x-value of any absolute extrema of gon [-1,5]. Label any extrema as absolute maxima or absolute minima. Show the work that leads to your conclusion. (d) Evaluate ] g"(x) cos( 8'(x) + # dx