The derivative of $\frac{2}{x}$ with respect to $x$ can be calculated using the power rule. First, rewrite the expression:

$\frac{2}{x} = 2x^{-1}$

Now, apply the power rule to $2x^{-1}$:

$\frac{d}{dx}(2x^{-1}) = 2 \cdot (-1)x^{-2} = -\frac{2}{x^2}$

So, the derivative of $\frac{2}{x}$ is:

$-\frac{2}{x^2}$

Would you like a more detailed explanation or have any further questions?

Here are 5 related questions:

1. What is the derivative of $\frac{3}{x}$?
2. How do you find the derivative of $\frac{a}{x}$ for any constant $a$?
3. Can you explain the power rule in calculus?
4. What is the second derivative of $\frac{2}{x}$?
5. How do you differentiate $\frac{2}{x^2}$?

Tip: Always simplify expressions before differentiating to make the process easier!