2. [i Determine if the statement is true or false. If it is true, explain why. If it is false, give an example that disproves the statement. (a) {3 pts) If f'{c) = 0, then (c, f (8)) is a local maximum 01' a local minimum of the curve 1; = f (2:). (b) [3 pts) If 111% f($) does not exist, then 111% f($)g[2:) does not exist for any function g