I want to know if the function below is monotonically decreasing for all $a,b >0, a\neq b $
\begin{equation} x\rightarrow \frac{\sinh((a-b)x)^2}{\sinh(2ax)\sinh(2bx)} \text{, $x >0. $} \end{equation}
Thank you for you response.
I want to know if the function below is monotonically decreasing for all $a,b >0, a\neq b $
\begin{equation} x\rightarrow \frac{\sinh((a-b)x)^2}{\sinh(2ax)\sinh(2bx)} \text{, $x >0. $} \end{equation}
Thank you for you response.