Homework Statement
let f(x,y)=(x4+y4)1/3
a)find f1 for (x,y)\neq(0,0)
b)prove that lim(x,y)\rightarrow(0,0)f1(x,y)=0
c) is f1 contintoius at (0,0)?
The Attempt at a Solution
f1=4x³/3(x4+y4)2/3
along any line y=mx, it is 0, along y=x² I run into a problem, where i get 4x1/3/3(1+x4)2/3...