... at the graph of y=x2. See graph B By drawing the tangents of each point, we can calculate the gradients. However, as the graph is not always completely accurately drawn, there is likely to be some error in the results. x g by tangent method g by small increment method -4 -13 -8 -3 -12.31 -6 -2 -8 -4 -1 -4 -2 0 0 0 1 3.71 2 2 8 4 3 12 6 4 16 8 As you can see, as the tangent method was producing results that were not very accurate and it is also difficult and time consuming to do. To avoid this I used another method called the small increment method (see calculations, page C). This is an alternative method that gives you a more accurate gradient. You 'zoom in' and look at the graph in more detail. You take two points very close together and join them with a straight line. Because the graph is a much larger scale, the line should almost follow the path of the curve. The more you zoom in, the more accurate the ...

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