Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #36 · Multivariable Calculus · Partial derivatives

Locate a point from which Newton’s method diverges

This problem goes further with Newton’s method for $g = x^{3} - y$ and $h = y^{3} - x$ . This is Example 9 with solutions $(1, 1), (0, 0), (- 1, - 1)$ .

Locate a point from which Newton’s method diverges.

This exercise builds on another exercise in its source book, which isn't shown here.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #36

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