Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 12 - Functions of Several Veriables - Review Exercises - Page 959: 12

Answer

$$(x,y)=(0,0).$$

Work Step by Step

To find the critical points we compute the first partial derivatives and equal it by zero as follows $$f_x=6x=0, \quad f_y=-8y=0$$ by solving the above equations we find that the critical point is $$(x,y)=(0,0).$$
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