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I am going to investigate the gradients of different curves and try to work out a pattern that I could use to find the gradient of any curve.
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Maths Coursework Introduction I am going to investigate the gradients of different curves and try to work out a pattern that I could use to find the gradient of any curve. I will draw graphs of a selection of curves, some by hand, some using Autograph and some using Excel. I will use three methods to investigate the graphs. Firstly, I will draw tangents to the curves at 4 or 5 points and measure the gradients. Secondly, I will draw chords between x = 1 and 4 or 5 points and measure the gradients. Thirdly, I will use algebra to work out a formula for the gradient and see how this matches the first two methods. At first I split up the coursework into 3 main families (for each family there are additional equations to investigate): Part One: Curves involving x2 1. y = x2 2. y = 2x2 3. y = 3x2 4. y = 4x2 5. y = x2 + 1 6. y...
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