Answered: Prove, using the definitions of tanh…

Math

Calculus

Prove, using the definitions of tanh and sech in terms of the exponential function, that 1 − tanh2 (x) = sech2 (x).

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 10CR

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Question

c) Prove, using the definitions of tanh and sech in terms of the exponential function, that

1 − tanh² (x) = sech² (x).

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