Let f(z)=|z+7|^2 Part (a) Using Cauchy-Riemann equations, show that f(z) is not differentiable everywhere. Part (b) Find a point where f(z) is differentiable, if there is any. Part (c) Find a point where f(z) is analytic, if there is any.
Let f(z)=|z+7|^2 Part (a) Using Cauchy-Riemann equations, show that f(z) is not differentiable everywhere. Part (b) Find a point where f(z) is differentiable, if there is any. Part (c) Find a point where f(z) is analytic, if there is any.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 52E
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Question
Let f(z)=|z+7|^2
Part (a)
Using Cauchy-Riemann equations, show that f(z) is not differentiable everywhere.
Part (b)
Find a point where f(z) is differentiable, if there is any.
Part (c)
Find a point where f(z) is analytic, if there is any.
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