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

Step-by-step solution

aligned y &= ⁻¹ ( x 2 - x 2 )² ( x 2 + x 2 )² = ⁻¹ ( x 2 - x 2 x 2 + x 2 ) &= ⁻¹ [ 1- x 2 .1+ x 2 ) = ⁻¹ ( 1+ x 2 1- x 2 )= ⁻¹ [ 4 + x 2 1- 4 x 2 ] . d y d x &=0+ 1 2 = 1 2 aligned