Derivative of ⁻¹ ( 2 x 1+x^2 ) w.r.t. ⁻¹ x,-1 < x < 1 is

Step-by-step solution

aligned & ⁻¹ ( 2 x 1+x^2 ) let x= & = ⁻¹ ( 2 1+ ^2 )= ⁻¹( 2 )=2 =2 ⁻¹ x & Now d ( ⁻¹ 2 x 1+x^2 ) d ( ⁻¹ x ) = d (2 ⁻¹ x ) d ( ⁻¹ x ) =2 aligned