... you can see, they are all twice their x value. Therefore, for the graph of y=x2, the formula for the gradient of a tangent is g=2x. I am left with the question of accuracy. I cannot get total accuracy, but there are ways I can get very close to an accurate answer. One such way is to use the method of using a line inside the curve. (4,16) (3.5,12.25) (3.01,9.0601) (3,9) Taha Jamil Ahmad 2003 Judging by this trend, I can use this method to find more accurate results. If I were to use very short lines, (3,9) to (3.0000001,9.0000006) for example, then use the y step/x step method to find the gradient, I would get an answer very close to the correct gradient. In this case, I would get a gradient of 6 for the tangent at x=3, which from the ...

See this essay or coursework document in full right now