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Gradient Function My task My task is to investigate the relationship between the gradients of tangents on the curves of graphs when y=axn Where a is a constant and is not 0, n is equal to 0, 1, 2, 3......... Definition Gradient of the curve between x1 and x2 is defined as: When x2 is getting close to x1 the gradient becomes the gradient of the curve at x1. The gradient to a curve, at a particular point, is given by the gradient of the tangent to the curve at that point. Method 1. I will draw the curves, y=2x2 and y=ax2 by hand on 5mm graph papers. Next I will draw the tangents and find the gradient of the tangents on the curve when x= -3, -2, -1, 0, 1, 2, 3. 2. I will then use the small increment method, where I use a small increment ?x=0.001. For x= -3, -2, -1, 0, 1, 2, 3...

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