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

Step-by-step solution

array l y= ( ⁻¹ x ) d y d x = ( ⁻¹ x ) ( ⁻¹ x ) 1 1+x² At x=1, d y d x = 4 4 ( 1 2 ) = 1 2 2 1= 1 2 array This problem can also be solved as follows : array l y= ( ⁻¹ x )= ( ⁻¹ 1+x² )= 1+x² d y d x = 1 2 1+x² 2 x= x 1+x² ( d y d x )_ x=1 = 1 2 array