There is a problem in Arnold's Trivia :yuck::(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Does the critical value exist?

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