Show that the function f(z)=|z|^2 for z=x+iy is not differemtiable | Filo
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Class 11

Math

Algebra

Complex Number and Quadratic Equations

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Show that the function for is not differemtiable for .

Solution: Given the function .
or, (Let).
Then and .
Now, and .
So we have and for .
That is doesn't satisfy Cauchy-Riemann equation for .
So the function is not differentiable for .
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