Quiz: Quiz 3.1-3.5 Question 8 of 25 This quiz: 25 point(s) possible This question: 1 point(s) possible a) The graph in the figure given below is made of line segments joined end to end. At which points of the interval [ - 4,6] is f' not defined? Give reasons for your (a) Choose the correct answer below. answer. b) Graph the derivative of f. O A. f' is not defined at x = 0, x = 1, and x = 4 because at these points the graph has corners. O B. f' is not defined at x = - 4, x= 1, and x = 4 because at these points the graph has corners. O C. f' is not defined at x = 0, x= 1, and x = 6 because at these points the graph has cusps. O D. f' is not defined at x = - 4, x= 1, and x = 4 because at these points the graph has cusps. (6,2) (b) Choose the correct graph of the derivative of f below. (-4.0) O A. O B. 1, - 4) (4, - 4) 10 to 00 10 O C. OD. AY O to= Quiz: Quiz 3.1-3.5 Question 9 of 25 This quiz: 25 point(s) possible This question: 1 point(s) possible The figure below shows the graph of a function over the closed interval [ - 1, 2]. (a) At what domain points does the function appear to be differentiable? O A. X= - 1 O B. - 15x Assume that functions f and g are differentiable with f(4) = 4, f'(4) = 4, g(4) =5, and g'(4) = 5. Find an equation of the line tangent to the graph of F(x) = f(x)g(x) at x = 4. The equation of the tangent line is (Type an equation using x and y as the variables.)Find the value of a that makes the following function differentiable for all values of x. if x