If y= ⁻¹ ( 1+ x 1- x ), 0 x < 2 , then d y d x at x= 6 is

Step-by-step solution

aligned & y= ⁻¹ ( 1+ x 1- x ) & = ⁻¹ [ ( x 2 + x 2 )^2 ( x 2 - x 2 )^2 ]= ⁻¹ [ ( x 2 + x 2 )^2 ( x 2 - x 2 )^2 ] & = ⁻¹ ( 1+ x 2 1- x 2 ) & = ⁻¹ ( 4 + x 2 1- 4 x 2 ) & = ⁻¹ [ ( 4 + x 2 ) ]= 4 + x 2 & dy dx = 1 2 & aligned