If x= ⁻¹ (3 t-4 t^3 ) and y= ⁻¹ ( 1-t^2 ) then d y d x , is equal to

Step-by-step solution

aligned & x= ⁻¹ (3 t-4 t^3 ) & and & y= ⁻¹ ( 1-t^2 ) & Let t= aligned x= ⁻¹ (3 -4 ^3 )= ⁻¹( 3 )=3 ⁻¹ t d x d t = 3 1-t^2 and y= ⁻¹ ( 1- ^2 )= ⁻¹ ( ^2 )= ⁻¹ t d y d t = 1 1-t^2 d y d x = d y / d t d x / d t = 1 / 1-t^2 3 / 1-t^2 = 1 3