Question

If f satisfies c-r equation then what is the derivative of f

Answer 1

A single-valued function w = ƒ(z) (where z =x +iy) in a region R is said to be analytic ("analytic" is defined in a broader sense to denote any function (real, complex, or of more general type) that can be written as a convergent power series in a neighborhood of each point in its domain) at a point z = a if ƒ(z) is not only a but at every point of some of a.

Otherwords, If a function ƒ(z) is analytic at every point of a certain region R then ƒ(z) is said to be analytic in that region. An analytic function is also known as , regular function.

So, to be a analytic function there is some necessary and sufficient condition

I hope this will help you