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The mathematical iteration formula for Newton's method is $x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$. This formula updates the current guess $x_n$ to the next guess $x_{n+1}$ by subtracting the ratio of the function value to its derivative.

Conditions: $f'(x_n)$ must be available and nonzero for the displayed division.; The formula gives one iterative update from $x_n$ to $x_{n+1}$.

The mathematical iteration formula for Newton's method is $x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$. This formula updates the current guess $x_n$ to the next guess $x_{n+1}$ by subtracting the ratio of the function value to its derivative.

Conditions: $f'(x_n)$ must be available and nonzero for the displayed division.; The formula gives one iterative update from $x_n$ to $x_{n+1}$.