8. Consider the complex function f(z) = x² + y² + 2ixy. a) Show that f'(31) does not exist. b) Show that f'(3) exists. c) Find f'(3).
8. Consider the complex function f(z) = x² + y² + 2ixy. a) Show that f'(31) does not exist. b) Show that f'(3) exists. c) Find f'(3).
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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![8. Consider the complex function f(z) = x² + y² + 2ixy.
a) Show that f'(3i) does not exist.
b) Show that f'(3) exists.
c) Find f'(3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a4ef8bf-8c69-4d54-8a57-d1ebec2b33fa%2Ff41454b8-2696-4043-ab6e-24da17b26ab9%2Fej61bra_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. Consider the complex function f(z) = x² + y² + 2ixy.
a) Show that f'(3i) does not exist.
b) Show that f'(3) exists.
c) Find f'(3).
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