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In this project I will be using 2 methods to find the gradients of curves with the formula: y=axn
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| Submitted: Fri Oct 24 2003
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Introduction In this project I will be using 2 methods to find the gradients of curves with the formula: y=axn The two methods I will be using are the tangent method and the small increase method. The tangent method involves drawing a line, by hand, which reflects the gradient. The graph shown above is the curve y=x2. The line drawn on the graph is the gradient at the point (3,9). The Gradient is worked out by using this formula: QN MN In this example the gradient is: 9 1.5 = 6 This method is inaccurate because it is drawn by eye and no real mathematics was involved to find the gradient. The small increase method is a more precise method of finding the gradient of a curve. It uses 2 points on the same curve, which are very close to each other, and uses the straight line between the points as the tangent. As this increase becomes gradually smaller, the line reflects...
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