Derivative of 3*x-2/x+3

1. Differentiate $\left(3 x - \frac{2}{x}\right) + 3$ term by term:

   1. Differentiate $3 x - \frac{2}{x}$ term by term:

      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: $3$

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

         1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$

         So, the result is: $\frac{2}{x^{2}}$

      The result is: $3 + \frac{2}{x^{2}}$

   2. The derivative of the constant $3$ is zero.

   The result is: $3 + \frac{2}{x^{2}}$

The answer is:

$$3 + \frac{2}{x^{2}}$$