If y= ( ⁻¹ x ) , then d y ~d x at x=1 is equal to

Step-by-step solution

aligned & y= ( ⁻¹ x ) & d y ~d x = ( ⁻¹ x ) ( ⁻¹ x ) 1 1+x^2 = & 1+x^2 x 1+x^2 [ ⁻¹ x= ⁻¹ 1+x^2 ] = & x 1+x^2 & ~d y ~d x_ at x=1 = 1 2 aligned