Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x - iy e C) (a) f(z) 2; (b) f(z) = z - 7; (c) f(2) 2r + ixy?; (d) f(z) = e'e-".

Using Cauchy Riemann equations prove that the followings do not have derivatives: (Assume that x, y E R and z = x + iy, z = x - iy e C) (a) f(z) 2; (b) f(z) = z - 7; (c) f(2) 2r + ixy?; (d) f(z) = e'e-".

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Using Cauchy Riemann equations prove that the followings do not have derivatives:

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