Gradient Function

The Gradient Function I am trying to find a code that will work step to the forrader the gradient of any hunt (the gradient function) I am going to start with the simplest cases, e.g. g=c², g=c, g=c3 etc. as they be probably going to be the easiest equations to solve as they be likely to be less(prenominal) complex and hopefully the formulas to the untold complex equations will be easier to discover by feeling at the previous formulas.  I am going to look at the line g=c² setoff.g=c² c 1 2 3 4 g 1 4 9 16 Please see represent on separate paper of paper One of the most distinct things I strike out is that as the orders increase so does the gradient. Not just at a time can you see that from the results below, but also on the graph you can that the line gets steeper and steeper. This makes sense as the gamy the number c is the larger the difference between c² and c. an other(prenominal) thing that I have noticed is that the larger the co-ordinates t he little the increase in gradient.  Point Gradient ( sunburn) Gradient (Small outgrowth Method) (1,1) 2 2.01 (2,4) 3.3 3.01 (3,9) 6.36 (2dp) 6.01 (3.5,12.3) 6.4 7.001  As the table above shows in that remark are two methods that I am using for astute the gradient of line.

The first being drawing a tangent at the point, working out the distances on the tangent using the scale on the represent and whence using this formula: dg/dc However there is another route called small increment method. This method confounds a to a great extent accurate approximation on the gradient.  What you do is surge in on the interpret and take part of the wr! iggle you take a co-ordinate e.g. (3,9) and (3.01,9.0601).Now you connect the two points together with a straight line. And beca map the graph is to a much larger scale the line should follow intimately the equal path as the curve. Of course the more you zoom in the more accurate the gradient will be. You then consumption the same formula to work out the gradient.dg/dc This should then give you an accurate gradient, it tends to be more accurate than the other method...If you demand to get a full essay, order it on our website: OrderCustomPaper.com

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