Newton-Raphson (Edexcel A-Level Mathematics): Quizzes

An iterative numerical technique

$x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}$

The derivative of $f(x)$

The tangent line to approximate the function

Choose an initial guess $x_0$

$|x_{n+1} - x_n| < \epsilon$ (tolerance)

$2.1$

When initial guess is close to actual root

When $f'(x)$ is close to zero

$x \approx 2.0946$