$3\mathrm{.}2$ Derivatives using $AD$

Solve for the Jacobian at the point $(x=2,y=1\mathrm{.}5),$ for the vector function $f=[f_1,f_2{]}^T$ presented in the

following python code. Show your work as needed $($by hand$).$

$a=x****2+3**y****2$

$b=sin(a)$

$c=3**x**2+y****2$

$d=sin(c)$

$e=x****2+y****2$

$g=-0*5**exp(-\frac{e}{2})$

$f1=a+c+g$

$h=x**y$

$f2=a-g+h$