Examine-the-following-function-for-extreme-value-f-x-y-x-4-y-4-2x-3-4xy-2y-2-

Tinku Tara June 4, 2023 Differentiation 0 Comments

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