Let g(x) = x/. If a # 0 then find g'(a) using the limit definition of the derivative. 3 x-a= (x)- (a) Hint: 2 x- a = (x) - () x3. 11. The graph of the derivative function f'(x) of a continuous function f(x) is given below. 6 4 3 2 1- y = f'(x) -10 1 2 3 4 5 6 7 8 -1 -2 -3 (a) At what value(s) of x does f have a local maximum? (b) At what value(s) of x does have a local minimum? (c) At what value(s) of x does f have an inflection point?