**??? - 2013 JUNE Q5**

5.

Fig. 5 shows the graph of y = 2

(i) On the copy of Fig. 5, draw by eye a tangent to the curve at the point where

(ii) Calculate the y-values on the curve when

^{x}.(i) On the copy of Fig. 5, draw by eye a tangent to the curve at the point where

*x*= 2. Hence find an estimate of the gradient of y = 2^{x}when*x*= 2. [3](ii) Calculate the y-values on the curve when

*x*= 1.8 and*x*= 2.2 Hence calculate another approximation to the gradient of*y*= 2^{x}when*x*= 2. [2]