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

Step-by-step solution

aligned & 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 )_ x=1 = 1 1+1^2 = 1 2 aligned . aligned