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The Gradient Function Investigation  

Member rating: 9 out of 10 stars (8 votes) | Words: | Submitted: Thu Jul 11 2002

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The Gradient Function Introduction Curves on a graph can be of varying steepnesses. This steepness also varies from point to point on many graphs. The steepness of a curve at a point is called its gradient. There are several methods for calculating the gradient at a certain point on a curve including the 'Tangent Method' and the 'Small Increments Method'. The Tangent Method Calculating the gradient of a straight line is simple. The formula is: Gradient = Change In Y Change In X This formula is demonstrated on Graph A. A curve proves more of a problem as the gradient is constantly changing. To calculate the gradient at a certain point, we must somehow be able to create a straight line from which to calculate this gradient. This can be achieved by drawing a tangent to the curve at the point in question. A tangent is a straight line which touches the curve at one point and one...

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