Show that arcsech(x) = arctanh(√1-x²) where arcsech(x) is the inverse of f: [0, ∞) → R, f(x) = sech(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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 3CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Show that
arcsech(x) = arctanh(√1-x²)
where arcsech(x) is the inverse of f: [0, ∞) → R, f(x) = sech(x).
Transcribed Image Text:Show that arcsech(x) = arctanh(√1-x²) where arcsech(x) is the inverse of f: [0, ∞) → R, f(x) = sech(x).
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