Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Find all points at which $f(z)=z^5(4\overline{z}+i|z|^2-(\text{Im }z)(\text{Re }z)^2)$ is differentiable.

Of course, we can write $z=x+iy$ and check the Cauchy-Riemann equations. But this is just too tedious. I wonder if there is a more clever way to do this.

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.