Suppose the derivative of the function y = f(x) is y' = (x- 2) (x- 3). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? (Hint: Draw the sign...

Extracted text: Suppose the derivative of the function y = f(x) is y' = (x- 2) (x- 3). At what points, if any, does the graph of f have a local minimum, local maximum, or point of inflection? (Hint: Draw the sign pattern for y'.) At what points, if any, does the graph of f have a local minimum? O A. The graph has a local minimum at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. The graph has no local minimum.