If x= a^ ⁻¹ t and y= a^ ⁻¹ t , then d y ~d x =

Step-by-step solution

d y ~d x = d a^ ⁻¹ t dt d a^ ⁻¹ t ~d t = 1 2 a^ ⁻¹ t a^ ⁻¹ t a -1 1-t^2 1 2 a^ ⁻¹ t a^ ⁻¹ a 1 1-t^2 = - a^ ⁻¹ t a^ ⁻¹ t = -y x