What is newton-raphson formula for finding roots of non linear equations?

Answer 1

The Newton-Raphson method works if the equations are differentiable over the domain.

Let f(x) be the non-linear equation and f'(x) by its derivative [with respect to x].

Start with a reasonable guess at the answer, x0.

Then calculate the sequence xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, …

The N-R method should converge to a root.