THEOREM 4.3.3 Tanh z, coth z. sech z, and each z are analytic func tions of z, except for those values of z excluded by Definition 4.3.2. Moreover, (tanh z) sech²z dz d dz d dz (coth z)=-csch²z (sech z)=- sech z tanh z + where, in all cases, n = 0, 1, 2, . (z+nwi). (esch z)=-csch z coth z (z nai). (4.3.7)
THEOREM 4.3.3 Tanh z, coth z. sech z, and each z are analytic func tions of z, except for those values of z excluded by Definition 4.3.2. Moreover, (tanh z) sech²z dz d dz d dz (coth z)=-csch²z (sech z)=- sech z tanh z + where, in all cases, n = 0, 1, 2, . (z+nwi). (esch z)=-csch z coth z (z nai). (4.3.7)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning