If y= ⁻¹ a x-b x b x+a x , then d y d x

Step-by-step solution

y= ⁻¹ a x-b x b x+a x Put a=r , b=r aligned & y= ⁻¹ r( x - x ) r( x+ x) & = ⁻¹ [ (x+ ) (x+ ) ]= ⁻¹[ (x+ )] & = ⁻¹ [ 2 -(x+ ) ] = 2 -(x+ ) & d y d x =0-(1+0)=-1 aligned