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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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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).
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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