The Gudermannian function of x is gd(x) = arctan(sinh x). (a) Graph gd using a graphing utility.

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The Gudermannian function of x is gd(x) = arctan(sinh x).

(a) Graph gd using a graphing utility.
(b) Show that gd is an odd function.
(c) Show that gd is monotonic and therefore has an inverse.
(d) Find the inflection point of gd.

(e) Verify that gd(x) = arctan(sinh x).

(f) Verify that

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Mar 02, 2023 05:22 AM

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The Gudermannian function of x is gd(x) = arctan(sinh x). (a) Graph gd using a graphing utility.

Question:

gd(x) = So dt cosh t

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gdx arctansinh x a ...View the full answer

Calculus

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