Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #35 · Calculus · Applications of derivatives

Apply the secant method to …, starting with … and

This problem is about competitors of Newton.

Apply the secant method to $f (x) = x^{2} - 4 = 0$ , starting with $x_{0} = 1$ and $x_{1} = 2.5$ . Find $Δ f /Δ x$ and the next point $x_{2}$ by hand. Newton uses $f^{'} (x_{1}) = 5$ to reach $x_{2} = 2.05$ . Which is closer to $x^{*} = 2$ ?

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #35

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.