If ⁻¹ ( x^2-y^2 x^2+y^2 )= ⁻¹(a) then d y d x is equal to

Step-by-step solution

Given, ⁻¹ ( x^2-y^2 x^2+y^2 )= ⁻¹ a x^2-y^2 x^2+y^2 = ( ⁻¹ a )=c On applying componendo and dividendo law, we get 2 x^2 2 y^2 = c+1 1-c y^2 x^2 = 1-c 1+c On differentiating both sides w.r.t ' x ', we get 2 x^2 y d y d x -2 y^2 x=0 d y d x = y x