Solution
= Solution
Setting the <tangent line> approximation equal to zero gives the <Newton root-finding iteration>
$$
\boxed{x_1=x_0-\frac{f(x_0)}{f'(x_0)}}.
$$
The step requires a nonzero <derivative> at the starting point.
= Solution
Setting the <tangent line> approximation equal to zero gives the <Newton root-finding iteration>
$$
\boxed{x_1=x_0-\frac{f(x_0)}{f'(x_0)}}.
$$
The step requires a nonzero <derivative> at the starting point.