Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.6 Maxima, Minima, and Saddle Points, #49 · Multivariable Calculus · Gradient & optimization

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Find $f_{x}, f_{y}, f_{xx}, f_{x y}, f_{y y}$ at the basepoint. Write the quadratic approximation to $f (x, y)$ —the Taylor series through second-order terms:

$f = x^{2} + y^{2}$ at $(1, - 1)$

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.6 Maxima, Minima, and Saddle Points, #49

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