please do the following problems and show the work

Definition 44 (Critical Point) Suppose that c is in the domain of the function f . If either f'(c) =0 or f'(c) does not exist, then c is a critical point for the function f. 95. Draw a function with at least four distinct critical points. The function should have one local maximum, one local minimum, one point with no derivative, and one critical point that fits none of these descriptions. Clearly label each of these.95. Suppose the function f is differentiable everywhere. Suppose I has exactlyr two distinct critical points, call them a and b. Suppose that e} 3E ll} {a} Based on the Mean Value Theorem, What can you say about the values of the derivative fix} for I in (a, b)? {b} 1What can you say about the original function values fr} for a: in (a, b}? 97. Suppose know know that c is a critical point for some function f. 1What would you need to do in order to gure out whether the function has a local max, a local min, or neither at that critical point? Describe your method clearly