If y= ⁻¹ ( 3 x 2 - x^3 2 ) , then d y ~d x is equal to

Step-by-step solution

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