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The Gradient Function
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| Submitted: Thu Jul 11 2002
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The Gradient Function Introduction A lot of graphs produce lines that are curves. Some of the curves are steep, and some are not. In this investigation I will be looking to work out a formula, which will work out the gradient of any curve. There are three methods for working out the gradient of a curve, all of them using a tangent:> The Tangent Method> The Increment method> General Proof This is the graph of y=x(. I will find out the gradient of this curve, by using the three methods I mentioned above. I will use the point x=2 for this graph. Tangent Method: The tangent method is already shown on the graph. I have drawn a line which touches the edge of the curve, when x=2. Once I have drawn the line I then turn it into a triangle, and look at the change in y, and the change in x. Finally I use the...
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