State sufficient condition for differentiability of a function f(x,y) at a point (a,b)



State sufficient condition for differentiability of a function f(x,y) at a point (a,b)..

Answer / Faheem Husain

A sufficient condition for the differentiability of a function f(x, y) at a point (a, b) is that both partial derivatives f_x and f_y exist at (a, b), and their limits as (h, k) approach (0, 0) are finite.

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