If y= ⁻¹ ( x+x⁻¹ x-x⁻¹ ) , then d y d x =

Step-by-step solution

aligned & y= ⁻¹ ( x+x⁻¹ x-x⁻¹ )= ⁻¹ ( x^2+1 x^2-1 )= ⁻¹ (- 1+x^2 1-x^2 ) & y= ⁻¹ (- 1+ ^2 1- ^2 )= ⁻¹ ( -1 2 )= ⁻¹(- 2 ) & y= -2 = -2 ⁻¹ x & d y d x =0- 2 1+x^2 aligned