Sketching derivatives? ?Reproduce the graph of f and then sketch a grap?h of f?? n 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. At the point a in the graph we can see that the slope is 0.ie f intercepts xaxis at x = a. Now,we can find that the graph is having a positive slope at all points,ie, f (x) > 0 x 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