Question

Find dy/dx if y=x+1/x-1​

Answer 1

Answer:

-2/(x-1)^2

Step-by-step explanation:

y=x+1/x-1

Now differentiating with respect to x.

dy/dx = [(x-1)× d/dx (x+1) - (x+1)× d/dx(x-1)] / (x-1)^2

dy/dx = [(x-1)×1 - (x+1)×1] / (x-1)^2 [because d/dx x =1 , d/dx 1 = 0]

dy/dx = [ x-1-x-1] / (x-1)^2

dy/dx = -2/ (x-1)^2.

Answer 2

Answer:

y=x+1/x-1

dy/dx =(x-1).1-(x+1).1/(x-1)^2

=x-1-x-1/(x-1)^2 dy/ dx =-2/(x-1)^2