Derivative of ⁻¹ 1-x 1+x w.r.t. ⁻¹ (4 x^3-3 x ) is

Step-by-step solution

Let y= ⁻¹ 1-x 1+x , z = ⁻¹ (4 x^3-3 x ) for y , substitute x= 2 ₁ and for z , substitute x= aligned & y= ⁻¹ 1- 2 ₁ 1+ 2 ₁ = ⁻¹ ( ₁ )= ₁ and & z = ⁻¹ (4 ^3 -3 ) &= ⁻¹( 3 )=3 herefore y & = ⁻¹ x 2 and z =3 ⁻¹ x & ~d y ~d x = -1 2 1-x^2 and d z ~d x = -3 1-x^2 & ~d y dz = d y ~d x ~d z ~d x = 1 6 aligned