Calculus › Section D · Applications of derivatives › Topic D.8
Newton's method
Some equations, like cos x = x, have no algebraic solution at all. Newton's method solves them anyway, using one tangent line after another to home in on the answer.
In this topic
- When algebra runs out
- Deriving the step
- Worked example: computing √2 by hand
- Why it converges so fast
- Worked example: an equation algebra cannot solve
- When Newton's method fails
- A procedure and a stop rule
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP