Derivative of lnsqrt1+2x/1-2x

1. Differentiate $- 2 x + \left(\frac{2 x}{1} + \log{\left(\sqrt{1} \right)}\right)$ term by term:

   1. Differentiate $\frac{2 x}{1} + \log{\left(\sqrt{1} \right)}$ term by term:

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

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

         1. 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: $2$

         So, the result is: $2$

      The result is: $2$

   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: $-2$

   The result is: $0$

The answer is:

$$0$$