Q38Multiple correct3 Marks1 Sep 2024

Consider the function f: f(x, y) = y^4 / (x^2 + y^2) for $(x, y)$ != $(0, 0)$ and f(0, 0) = 0. If f_x, f_y denote the partial derivatives, select all true statements from the options given below.

A

f_x(0, 0) does not exist.

B

f_y(0, 0) does not exist.

C

f_x(0, 0) = 0

D

f_y(0, 0) = 0