If (x+y)= (x y)+a , where a is constant, then d y ~d x at x=2 and y=4 is

Step-by-step solution

aligned & (x+y)= (x y)+a & ( x+y x y )=a & x+y x y =e^a & 1 y + 1 x =e^a & - 1 y^2 d y ~d x - 1 x^2 =0 & d y ~d x =- y^2 x^2 & d y ~d x =- 4^2 2^2 =-4 aligned