Consider the function f(z) = 4x³y + (6y² - x¹)i. Find the set of all zo such that a) f(z) is differentiable at zo. b) f(z) is analytic at zo.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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Consider the function f(z) = 4x³y + (6y² - x4)i. Find the set of all zo
such that
a) f(z) is differentiable at zo.
b) f(z) is analytic at zo.
Transcribed Image Text:Consider the function f(z) = 4x³y + (6y² - x4)i. Find the set of all zo such that a) f(z) is differentiable at zo. b) f(z) is analytic at zo.
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part a and b are incorrect we should get +-1 or y=0 for a and part b is no where analytic. Can you please provide a correct solution

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