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Section 3.8 : Derivatives of Hyperbolic Functions

For each of the following problems differentiate the given function.

1. \(f\left( x \right) = \sinh \left( x \right) + 2\cosh \left( x \right) - {\mathop{\rm sech}\nolimits} \left( x \right)\) Solution
2. \(R\left( t \right) = \tan \left( t \right) + {t^2}{\mathop{\rm csch}\nolimits} \left( t \right)\) Solution
3. \(\displaystyle g\left( z \right) = \frac{{z + 1}}{{\tanh \left( z \right)}}\) Solution