Let `g(x,y)=2y+x^(2),x = 2r -s,y=r^(2)+2s,r,s inRR`. Find `(delg)/(delr),(delg)/(dels)`

Let z(x,y)=xe^(y)+ye^(-x),x=e^(-t),y=st^(2),s,tinRR . Find (delz)/(dels)and(delz)/(delt) .

Let U(x,y) =e^(x) sin y , where x=st^(2), y =s^(2) t, s, t in R . Find (del U)/(del S), (del U)/(del t) and evaluate them at s=t=1.

If z(x,y) =x tan^(-1)(xy), x=t^(2), y=se^(t), s, t in R , Find (del z)/(del s) and (del z)/(del t) at s=t=1.