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## Main Question or Discussion Point

There is a problem in Arnold's Trivia :yuck::

Find the critical values and critical points of the mapping z -> z^2+ 2*conjugate(z); (sketch the answer).

It seems to me that the critical values (z where f'(z)=0) do not exist, becouse the function f(z)= z^2+ 2*conjugate(z) is not analytic.

Is anybody able to explain what Arnold mean under the notion 'critical values and critical points'?

Thanx for help.

Find the critical values and critical points of the mapping z -> z^2+ 2*conjugate(z); (sketch the answer).

It seems to me that the critical values (z where f'(z)=0) do not exist, becouse the function f(z)= z^2+ 2*conjugate(z) is not analytic.

Is anybody able to explain what Arnold mean under the notion 'critical values and critical points'?

Thanx for help.