Derivative of y=x-3/x+2

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

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

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

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

      The result is: $1 + \frac{3}{x^{2}}$

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

   The result is: $1 + \frac{3}{x^{2}}$

The answer is:

$$1 + \frac{3}{x^{2}}$$