Prove the formula given in Table 6 for the derivative of each of the following functions (a) sech 1 (b) csch 1 6 Derivatives of Inverse Hyperbolic Functions d (sinh x) dx 1 d (csch lx) 3D dx 1 x2 x Vx 1 d (cosh x) dx d (sech x) dx x 1 x2 d d (coth x) dx 1 (tanh x) dx 3D...

Prove the formula given in Table 6 for the derivative of each of the following functions. (a)

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Prove the formula given in Table 6 for the derivative of each of the following functions.

6 Derivatives of Inverse Hyperbolic Functions d (sinh-x) dx 1 d (csch-lx) 3D dx 1 !! + x2 |x|Vx² + 1 d (cosh-x) dx d (sech-x) = dx x/1 - x2 d d (coth-x): dx 1 (tanh-x) dx %3D

(a) sech^-1

(b) csch^-1

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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Question Posted: Dec 31, 2020 02:14 AM

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Prove the formula given in Table 6 for the derivative of each of the following functions. (a)

Question:

6 Derivatives of Inverse Hyperbolic Functions d (sinh-x) dx 1 d (csch-lx) 3D dx 1 !! + x2 |x|Vx² + 1 d (cosh-x) dx d (sech-x) = dx x/1 - x2 d d (coth-x): dx 1 (tanh-x) dx %3D

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a Let y sech 1 Then sech y ...View the full answer

Calculus Early Transcendentals

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