Q1Multiple correct6 Marks10 May 2026

Define a function f(x, y) = { (x - y)^2 sin(1/(x-y)) if x != y { 0, if x = y. Choose all correct options.

A

f is continuous at $(0, 0)$.

B

f_x(0,0) = f_y(0,0).

C

f_x(0,0) != f_y(0,0).

D

f is differentiable at $(0, 0)$.