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Answer the following questions about the function whose derivative is f prime left parenthesis x right parenthesisf′(x)equals=left parenthesis x minus 2 right parenthesis squared left parenthesis x plus 9 right parenthesis(x−2)2(x+9).
a. What are the critical points of f?
b. On what open intervals is f increasing or decreasing?
c. At what points, if any, does f assume local maximum and minimum values?