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

Class 11

Math

Algebra

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150

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 .
629
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