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a) f(z) = 2x + ixy2 b) f(z) = x² +iy2 %3D c) f(z) = e*e¯y

a) f(z) = 2x + ixy2 b) f(z) = x² +iy2 %3D c) f(z) = e*e¯y

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Determine whether the complex functions given below satisfy the Cauchy-Riemann equations (have derivatives).

 

a) f(z) = 2x + ixy2 b) f(z) = x² + iy2 %3D c) f(z) = e*e¯ly d) f(z) = z Im(z)
Transcribed Image Text:a) f(z) = 2x + ixy2 b) f(z) = x² + iy2 %3D c) f(z) = e*e¯ly d) f(z) = z Im(z)
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