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Question Number 63128 by Tawa1 last updated on 29/Jun/19

Examine the following function for extreme value      f(x, y)  =  x^4  + y^4  − 2x^3  + 4xy − 2y^2

$$\mathrm{Examine}\:\mathrm{the}\:\mathrm{following}\:\mathrm{function}\:\mathrm{for}\:\mathrm{extreme}\:\mathrm{value} \\ $$$$\:\:\:\:\mathrm{f}\left(\mathrm{x},\:\mathrm{y}\right)\:\:=\:\:\mathrm{x}^{\mathrm{4}} \:+\:\mathrm{y}^{\mathrm{4}} \:−\:\mathrm{2x}^{\mathrm{3}} \:+\:\mathrm{4xy}\:−\:\mathrm{2y}^{\mathrm{2}} \\ $$

Commented by Hope last updated on 29/Jun/19

Commented by Hope last updated on 29/Jun/19

Commented by Hope last updated on 29/Jun/19

Commented by Hope last updated on 29/Jun/19

Commented by Hope last updated on 29/Jun/19

Commented by mathmax by abdo last updated on 29/Jun/19

thanks sir hope for charing  this subject about differential calculus.

$${thanks}\:{sir}\:{hope}\:{for}\:{charing}\:\:{this}\:{subject}\:{about}\:{differential}\:{calculus}. \\ $$

Commented by Hope last updated on 29/Jun/19

most welcome sir

$${most}\:{welcome}\:{sir} \\ $$

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