$x=e^v \sec u$ $x_u = e^v \sec u \tan u$ $\ x_v = e^v \sec u$ $\ y= e^v \tan u$ $\ y_u= e^v \sec^2 u$ $\ y_v = e^v\tan u$ $J\left ( \dfrac {x,y}{u,v} \right )= \dfrac {\partial (x,y)}{\partial (u,v)} \begin{vmatrix} \dfrac {\partial x}{\partial …