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For the Newton Raphson method we use the Formula:
This means that the next iteration is given by the first iteration minus the equation divided by the differentiation of the equation.
When applying the Newton raphson method we start with an estimated root. We then draw a tangent from the curve at this point to find a more accurate root...
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We then draw a tangent from the curve at this point to find a more accurate root. We repeat this process until we achieve a suitable degree of accuracy.
The formula I will use is
The graph for this equation looks like this,
The estimated root I will use is 2. I will put this into my equation
In order to do this on my calculator, I must type in the following equation...
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