6. The "hyperbolic trigonometric functions" are specific combinations of ex- ponential functions that appear in application frequently enough that they have their own names. For example, the "hyperbolic cosine function" is given by et +e-x cosh x 2 the "hyperbolic sine function" is given by et - e-a sinh x = and the "hyperbolic tangent function" is given by sinh x tanh x = cosh x Use the definitions above to show that d tanh x = dx 1 cosh x
6. The "hyperbolic trigonometric functions" are specific combinations of ex- ponential functions that appear in application frequently enough that they have their own names. For example, the "hyperbolic cosine function" is given by et +e-x cosh x 2 the "hyperbolic sine function" is given by et - e-a sinh x = and the "hyperbolic tangent function" is given by sinh x tanh x = cosh x Use the definitions above to show that d tanh x = dx 1 cosh x
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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