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??? - 2013 JUNE Q5

5.
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Picture
Fig. 5 shows the graph of y = 2x .

(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 = 2x 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 = 2x when x = 2. [2]
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