4. Recall that the principal branch of the inverse tangent function was defined on the complex plane with two slits on the imaginary axis ence by Tan-¹z - Log (1+i), iz z (-io, -i] U[i, i∞). Find the derivative of Tan-1z. Find the derivative of tan-1 z for any analytic branch of the function defined on a domain D. dv
4. Recall that the principal branch of the inverse tangent function was defined on the complex plane with two slits on the imaginary axis ence by Tan-¹z - Log (1+i), iz z (-io, -i] U[i, i∞). Find the derivative of Tan-1z. Find the derivative of tan-1 z for any analytic branch of the function defined on a domain D. dv
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![4. Recall that the principal branch of the inverse tangent function was
defined on the complex plane with two slits on the imaginary axis
ence
by
Tan-¹z
-
Log (1+i),
iz
z (-io, -i] U[i, i∞).
Find the derivative of Tan-1z. Find the derivative of tan-1 z for
any analytic branch of the function defined on a domain D.
dv](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30e6ca29-61bc-41d1-bea3-28d53872fdaf%2F7abd0b33-582e-4d5f-bdfb-76b4abf86d18%2Ftyn5bmj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Recall that the principal branch of the inverse tangent function was
defined on the complex plane with two slits on the imaginary axis
ence
by
Tan-¹z
-
Log (1+i),
iz
z (-io, -i] U[i, i∞).
Find the derivative of Tan-1z. Find the derivative of tan-1 z for
any analytic branch of the function defined on a domain D.
dv
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