Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.7 Newton’s Method (and Chaos), #8 · Calculus · Applications of derivatives

Solve 9–17 to four decimal places by Newton's method with a computer…

If $f (x)$ is increasing and concave up ( $f^{'} > 0$ and $f^{''} > 0$ ) show by a graph that Newton's method converges. From which side?

Solve 9–17 to four decimal places by Newton's method with a computer or calculator. Choose any $x_{0}$ except $x^{*}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.7 Newton’s Method (and Chaos), #8

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