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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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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
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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