Answer
$\sinh x$ and $\tanh \ x$ are increasing hyperbolic functions.
Work Step by Step
$\sinh x$ and $\tanh \ x$ are increasing hyperbolic functions. We see that $(\sinh x)'=\cosh x$ and $ (\tanh x)'=sech^2 \ x$ which means that the first derivative is positive and hence $\sinh x$ and $\tanh \ x$ are increasing.
