Part 1 a) Given f (z) = + x2 + i(2x2 - y?), show which points where f has y a derivative. b) Show that f (z) = z2 + z - 1 does not have a derivative at any point z E C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Part 1
a) Given f(z)
y
+ x2 + i(2x2 - y?), show which points where f has
a derivative.
b) Show that f (z) = z2 + z - 1 does not have a derivative at any point
z E C.
Transcribed Image Text:Part 1 a) Given f(z) y + x2 + i(2x2 - y?), show which points where f has a derivative. b) Show that f (z) = z2 + z - 1 does not have a derivative at any point z E C.
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