The first and second derivatives of a function f are given. Use these to find the information below. f space apostrophe left parenthesis x right parenthesis equals open parentheses 3 minus x close parentheses open parentheses x minus 5 close parentheses cubed f space apostrophe apostrophe left parenthesis x right parenthesis equals 2 open parentheses x minus 5 close parentheses squared open parentheses 7 minus 2 x close parentheses a. On what interval(s) is f increasing? Type your answer in interval notation. If there is more than one interval, separate them with a comma. Use "infinity" (without the quotes) for infinity. b. For what values(s) of x does f have a local maximum? x= Round your answer(s) to 2 decimal places, if necessary. If there is more than one x-value, separate them with a comma. If there is no local maximum, type "none" (without the quotes).