Given the function f(z)= zz, Show that (i) the function is differentiable at z=0 and nowhere else. (ii) the function is nowhere analytic.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Discrete Mathmatics and complex analysis 

Given the function f(z)=zz.
Show that (i) the function is differentiable at z = 0 and nowhere else.
(ii) the function is nowhere analytic.
Transcribed Image Text:Given the function f(z)=zz. Show that (i) the function is differentiable at z = 0 and nowhere else. (ii) the function is nowhere analytic.
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