Consider a family of functions defined by f where b > 0 . The function f, its first derivative, and second derivative are shown below. ((x) = 16In (x) - bx2 f '(x) = 16 - 2bx2 F "(x) = _ 16 - 2b * x2 (a) Find the critical point of f. Your answer might have b in it. X = (b) Evaluate f" at the critical point you obtained in (a). f " at the critical point is: (c) What is the concavity of f at the critical point you found in part (b)? Concave --Select--- (d) Using the Second Derivative Test, we can say that the critical point of f obtained in part (a) ---Select- For instructor's notes. Do not write below