Question

derivative of x+1/x-1 by using first principle​

Answer 1

Answer:

− 2 /( x − 1 )^ 2

Step-by-step explanation:

This is a ratio of polynomials.

The derivative is

( u/ v ) '  =  u ' v  −  u v ' /v ^2

Here,

u  =  x + 1  ,  ⇒  ,  u ' = 1

v  =  x − 1  ,  ⇒  ,  v ' = 1

So,

d y/ d x =   1  ⋅  ( x − 1 )  − 1  ( x + 1 )  / ( x − 1 )^ 2

= x − 1 − x − 1 /  ( x − 1 )^ 2

=  − 2 /( x − 1 )^ 2

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