$(Given)\ x=uv \cdots(1) $

• $Hence,\ x_u = \dfrac{\delta x}{\delta u} = v$

$x_v = \dfrac{\delta x}{\delta v} = u$

• $(Given)\ y=\dfrac {u}v \cdots(2) $

$ y_u=\dfrac {\delta y}{\delta u} = \dfrac {1}v$

$ y_v=\dfrac {\delta y}{\delta v} = u.\dfrac {-1}{v^2}$

$J = \dfrac{\delta(x,y)}{\delta(u,v)}$

$= \begin{vmatrix} x_u & x_v \\[0.3em] y_u …