Figure 15(A) shows the graph of (x) = x. The close-up in Figure 15(B) shows that the

Figure 15(A) shows the graph of ƒ(x) = √x. The close-up in Figure 15(B) shows that the graph is nearly a straight line near x = 16. Estimate the slope of this line and take it as an estimate for ƒ'(16). Then compute ƒ'(16) with the limit definition and compare with your estimate.

Transcribed Image Text:

5 4 3 N P 10 12 14 16 18 (A) Graph of y=√x X 15.9 4.1 ++X 16.1 3.9 (B) Zoom view near (16,4)