Sketching derivatives? ?Reproduce the graph of f and then sketch a graph of f?? ?on the same axes.

SOLUTION STEP 1 The objective is to find the derivative of the graph f.ie we have to find the slope at each point of the graph,but however only a rough estimate of the slope is enough,as finding the exact slope is difficult in this case. As we can see that the graph is continuously increasing in its domain,the slope of the tangent to the graph on the given domain is positive. STEP 2 Thus we can now draw the graph of f and f on the same axis as Note that the graph f intersects the x-axis at points that corresponds to the high and low points on the graph of f