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Section 3.8 : Derivatives of Hyperbolic Functions

1. Differentiate \(f\left( x \right) = \sinh \left( x \right) + 2\cosh \left( x \right) - {\mathop{\rm sech}\nolimits} \left( x \right)\).

Show Solution

Not much to do here other than take the derivative using the formulas from class.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{f'\left( x \right) = \cosh \left( x \right) + 2\sinh \left( x \right) + {\mathop{\rm sech}\nolimits} \left( x \right)\tanh \left( x \right)}}\]