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# Existence of a Function

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Complex Variables
Existence of a Function

Show that the derivative of the following function does not exists at any point
f(z) = 2x + ixy^2

Note that I and j are used and they represent the same imaginary quantity ( - 1)^(1/2).

See the attached file.

https://brainmass.com/math/complex-analysis/existence-of-a-function-42588

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Complex Variables
Existence of a Function

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#### Solution Summary

This solution is comprised of a detailed explanation existence of a function.
It contains step-by-step explanation for the following problem:

Show that the derivative of the following function does not exists at any point
f(z) = 2x + ixy^2

Note that I and j are used and they represent the same imaginary quantity ( - 1)^(1/2).

Solution contains detailed step-by-step explanation.

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