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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #24 · Multivariable Calculus · Gradient & optimization

Example 5 followed … around the circle

Example 5 followed $f = x^{2} + x y + y^{2} - x - y + 1$ around the circle $x^{2} + y^{2} = 1$ . The four stationary points have $x = y$ or $x + y = 1$ . Compute $f$ at those points and locate the minimum.

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) · §13.6 Maxima, Minima, and Saddle Points, #24

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