Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In Problem, use the graph of the function y = f (x) given in Figure

(a) At what point(s) A through E does the rate of change of f (x) change from positive to negative?

(b) At what point(s) A through E does the rate of change of f (x) change from negative to positive?

Transcribed Image Text:

E A D a d b.