y= ( 1+x 1-x )^ 1 / 4 - 1 2 ⁻¹(x) , then d y d x is equal to

Step-by-step solution

aligned & Given, y= ( 1+x 1-x )^ 1 / 4 - 1 2 ⁻¹ x & y= 1 2 ⁻¹ x- 1 2 ⁻¹ x aligned On differentiating w.r. t. x , we get aligned d y d x & = 1 2 ( 1 1-x^2 )- 1 2 ( 1 1+x^2 ) & = 1 2 ( 1+x^2-1+x^2 1-x^4 ) & = 1 2 ( 2 x^2 1-x^4 ) & = x^2 1-x^4 aligned