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Maths coursework: gradient function  

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Maths Coursework 1. Draw a graph of y = x2 for values of x from 0 to 4. Obtain the gradient of the tangent at different points. Record the results. To conduct this question I first had to obtain the values of y = x2 for values of x from 0 to 4. This is shown below. I decided to use values more accurate and precise values of x to enable me to obtain a more accurate curve and thus enabling me to obtain a more accurate gradient. I took the values of y = x2 and then plotted them on the graph. I rounded the values to two decimal places to enable me to plot the point as accurately as possible on my scale. y y = x2 0.0 0.0 0.25 0.0625 0.5 0.25 0.75 0.5625 1.0 1.0 1.25 1.5625 1.5 2.25 1.75 3.0625 2.0 4.0 2.25 5.0625 2.5 6.25 2.75 7.5625 3.0 9.0 3.25 10.5625 3.5 12.25 3.75 14.025 4.0 16.0 I then joined up the points with a flexi-curve. This instrument enabled me to obtain an accurate curve hence enabling me to draw accurate tangents to...

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