If x y= ⁻¹(x y)+ ⁻¹(x y) , then ( d y ~d x )_ (4,2) =( where x, y I R)

Step-by-step solution

aligned & x y= ⁻¹(x y)+ ⁻¹(x y) & x y= 2 aligned diff. we get 1 y+x d y d x =0 aligned & d y ~d x = -y x & d y ~d x at, (4,2)= -2 4 = -1 2 aligned