Derivative of y=ln*1+x/1-x

1. Differentiate $- x + \left(\frac{x}{1} + \log{\left(1 \right)}\right)$ term by term:

   1. Differentiate $\frac{x}{1} + \log{\left(1 \right)}$ term by term:

      1. The derivative of the constant $\log{\left(1 \right)}$ is zero.

      2. The derivative of a constant times a function is the constant times the derivative of the function.

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $1^{-1}$

      The result is: $1^{-1}$

   2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: $x$ goes to $1$

      So, the result is: $-1$

   The result is: $0$

The answer is:

$$0$$