Hi! Can you pls help

Problem 5 a*) Consider the following function f (2, y) = xy (x2 -V2) if (ac, y) * (0, 0), 202 +y2 10 if (x, y) = (0,0). (4) 1) Prove that this function is continuous everywhere. 2) Compute the partial derivatives fr and fy if (x, y) * (0, 0). 3) Compute the partial derivatives fx and fy if (x, y) = (0, 0) using the limit definition of partial derivatives: fx (0, 0) = lim f (h, 0) - f(0, 0) h -+0 h (5) 4) Compute its second order partial derivatives fry and fyr at the point (x, y) = (0, 0). You need to use the limit definition of partial derivatives: fxy (0, 0) = (fx(0, 0))y = lim fx(0, h) - fx(0, 0) h -+ 0 h (6)