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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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do not leave any points where couchy-Reimann holds.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa62f7b35-7db6-46d8-92c3-a45ad2747ea7%2F86c9ee1b-4ed1-4e11-8fe2-a8d9eacec7cc%2F7mryftf_processed.jpeg&w=3840&q=75)
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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