5. Let f: R² → R, f(x, y) = x²y, c = (1, 1), and u = (1,1). Find Duf(c) and prove your answer with the e-d definition of Duf(c). Hint (optional): Fix € > 0 and choose d = min{1, €/4}. Duf (c) if Review of Definition: Lu Ve > 0,380 such that {t € R and 0 < |t| < 8} ⇒ || } [ƒ(c + tu) − ƒ(c)] − Lu|| < €. - -

5. Let f: R² → R, f(x, y) = x²y, c = (1, 1), and u = (1,1). Find Duf(c) and prove your answer with the e-d definition of Duf(c). Hint (optional): Fix € > 0 and choose d = min{1, €/4}. Duf (c) if Review of Definition: Lu Ve > 0,380 such that {t € R and 0 < |t| < 8} ⇒ || } [ƒ(c + tu) − ƒ(c)] − Lu|| < €. - -

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.4: Ordered Integral Domains

Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....

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