Question

Write the condition of differentiability of function of two variable in polar coordinates

Answer 1

Step-by-step explanation:

The following theorem is on Sufficient condition for differentiability: Theorem: Suppose fx(x, y) and fy(x,y) exist in an open neighborhood containing (a,b) and both functions are continuous at (a, b). Then f is differentiable at (a,b). f(a+h,b+k) – f(a,b) = {f(a+h,b+k) – f(a+h,b)} + {f(a+h,b) – f(a,b)}.