F MY = [ ( x ) -6 -5 -4 -3 -2 is The figure above shows the graph of f', the derivative of the function f, for -7 4? Why?3) Consider the curve xy' - xy = 6 a) how that dy _3x2 y - 2 dx 2 xy - x 3 b) Find all points on the curve whose x-coordinate is 1, and write the equation for the tangent line at these points. c) Find the x-coordinate of each point on the curve where the tangent line is vertical.4) Let p and q be real numbers and let f be the function defined by f ( x ) = 1 + 2 p ( x - 1) + ( x -1)2 x51 qx + p a) Find the values of q, in terms of p, for which fis continuous at x = 1 b) Find the values of p and q for which fis differentiable at x = 1 c) If p and q have the values determined in part b, is f a continuous function? Justify your answer.5 ) A function f is continuous on the closed interval [-3, 3] such that f(-3) =4 and f(3) =1. The functions f' and f" have the properties given in the table below. -3