The rule of the derivative of a function f is given below (but not the rule of f itself). Find the location of all local extrema and points of inflection of the function f. f'(x)=(x-4)(x-6)(x-7) A. The local maxima occur at x = and the local minima occur at x = (Type an integer or simplified fraction. Use a comma to separate answers as needed.) OB. The local minima occur at x = and there are no local maxima. (Type an integer or simplified fraction. Use a comma to separate answers as needed.) OC. The local maxima occur at x = and there are no local minima. (Type an integer or simplified fraction. Use a comma to separate answers as needed.) D. There are no local extrema. Select the correct choice below and fill in any answer boxes within your choice. A. The inflection point(s) occur at x = (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) OB. There are no inflection points.

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