JeongHwa K.

asked • 12/10/19

I am so tilted! Please help me! (Multivariate Calculus about finding Extrema!)

Good day!


Show that f(x,y) = 1 - x^4 - y^4 has a relative maximum, even though D(Discriminant) in the theorem is 0.


JUST HOW!!!!!! I AM TILTED AF PLEASE HELP ME!


I will show my working so far:


fx = -4x^3 here x = 0


fy = -4y^3 here y = 0


fxx = -12x^2 since x = 0, the value of fxx would be 0 as well.


fyy = -12y^2


fxy = 0


D = fxx x fyy - fxy^2 = 0 (Which should mean that not enough information is given for this function.)


AND THIS STUPID QUESTION TELLS ME TO SHOW THAT THERE IS RELATIVE MAXIMUM!

1 Expert Answer

By:

Christopher A. answered • 12/10/19

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