Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #30 · Calculus · Applications of derivatives

Apply Newton's method to … to find the basin of attraction for…

Apply Newton's method to $x^{3} - .64 x - .36 = 0$ to find the basin of attraction for $x^{*} = 1$ . Also find a pair of points for which $y = F (z)$ and $z = F (y)$ . In this example Newton does not always find a root.

~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), #30

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.