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