Derivative of 2/2x-3

1. Differentiate $1 x - 3$ term by term:

   1. Apply the product rule:

      $$\frac{d}{d x} f{\left(x \right)} g{\left(x \right)} = f{\left(x \right)} \frac{d}{d x} g{\left(x \right)} + g{\left(x \right)} \frac{d}{d x} f{\left(x \right)}$$

      $f{\left(x \right)} = 1$; to find $\frac{d}{d x} f{\left(x \right)}$:

      1. The derivative of the constant $1$ is zero.

      $g{\left(x \right)} = x$; to find $\frac{d}{d x} g{\left(x \right)}$:

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

      The result is: $1$

   2. The derivative of the constant $\left(-1\right) 3$ is zero.

   The result is: $1$

The answer is:

$$1$$