If y= (a-x)(x-b) -(a-b) ⁻¹ a-x x-b , then d y d x is equal to

Step-by-step solution

Let x=a ^2 +b ^2 a-x=a-a ^2 -b ^2 =(a-b) ^2 and x-b=a ^2 -b ^2 -b=(a-b) ^2 y=(a-b) -(a-b) ⁻¹ y=(a-b) -(a-b) ⁻¹ = a-b 2 2 -(a-b) d y d x = d y / d d x / d = (a-b) 2 -(a-b) (b-a) 2 = 1- 2 = = a-x x-b