Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #53 · Multivariable Calculus · Gradient & optimization

(c) For … to be a minimum we also need ____

(a) For the error $f - f_{L}$ in linear approximation, the Taylor series at $(0, 0)$ starts with the quadratic terms ____.

(b) The graph of $f$ goes up from its tangent plane (and $f > f_{L}$ ) if ____. Then $f$ is concave upward.

(c) For $(0, 0)$ to be a minimum we also need ____.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #53

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