I'm after understanding more than an answer but an answer would be greatly appreciated.

The question reads as

"On the answer sheet for this question is shown an x-y graph of the function [y(x)=x^2cos(3x)]

Add to that same picture a rough sketch of the graph of dy/dx against x, adding graphical arguments pointing out the main features of this graph which convince you that it represents the slope of the graph of y(x) against x. Find all local max, min and points of inflexion."

any idea?

thanks