The derivative of ⁻¹ (2 x 1-x^2 ) w.r.t. ⁻¹ (3 x-4 x^3 ) is

Step-by-step solution

Let y= ⁻¹ (2 x 1-x^2 ) and z = ⁻¹ (3 x-4 x^3 ) Put x= = ⁻¹ x y= ⁻¹ (2 1- ^2 ) and aligned & z = ⁻¹ (3 -4 ^3 ) & y= ⁻¹( 2 ) and z= ⁻¹( 3 ) & y=2 =2 ⁻¹ x and z=3 =3 ⁻¹ x aligned aligned & d y ~d x = 2 1-x^2 and d z ~d x = 3 1-x^2 & & & ~d y ~d z = d y ~d x dz d x = 2 3 aligned