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Newton-Raphson Method

The Newton-Raphson method is the most popular method for solving nonlinear equations. This method is, in general, very suitable for its convenience and computation efficiency.

The Newton-Raphson method uses the following iteration relation:

xn + 1 = xn - f (xn) / f '(xn)

Where f '(xn) is the first derivative of function f(x).

Starting with the initial value, xn, it is possible to find the next guess, xn + 1, by using the above iteration relation. This process can be repeated until the solution within a given tolerance is found.

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