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You are here: Home / Category Index / Differentiation / Newton Raphson Explanation Of Principles/how It Works
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Newton Raphson Explanation Of Principles/how It Works - By Miriam Aylward
How to use this applet:The Newton-Raphson applet opens with an explanation of the concept of the formula and with a graph.There are further explanations to be seen and can be seen by clicking on the 'more' button.You can return to any of the pages by clicking the 'return' or 'back'
There is also a drop down menu which has a list of years in it.If you click on any of these years the example of that Leaving Cert question appears.you can return to the main page by either clicking the 'return'/ 'back' button or by clicking the 'main' choice in the menu Notes on the maths used in the applet:The Newton-Raphson method is used for solving both cubic and quadratic equations for the Leaving Cert Syllabus. However this method can be used to solve many different kinds of equations.
To Calculate the approximates using The Newton-Raphson Method :
Use the Formula:
Xn+1 = Xn - F(Xn)/F'(Xn)
You will be given the first approximation to input.Use the value and substiue for X in the equation F(X).
Get the derivative of this eqn. which will be F'(X) and again substiute your value for X in.
Input these values into your formula and you will get an approximation!Use this new approximation to calculate the next approximation
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