Q52Multiple correct3 Marks30 Apr 2023

Choose the correct statements for the function: f(x, y) = x^2 * y^2 / (x^4 + y^4) for $(x,y)$ != $(0,0)$, and f(0,0) = 0

A

lim_{(x,y)->(0,0)} f(x, y) = 4/17 along the path y = 2x.

B

f_x(0,0) = 1.

C

The directional derivative of f at $(0,0)$ in the direction of $(1, -1)$ exists.

D

f is not continuous at $(0,0)$.