The derivative of $x^2$ with respect to $x$ is found using the power rule, which states that if $f(x) = x^n$, then $f'(x) = nx^{n-1}$.

Applying the power rule:

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

So, the derivative of $x^2$ is $2x$.

Would you like more details or have any questions?

Here are 5 numbered questions you might want to ask:

1. How do you solve a quadratic equation?
2. What is the integral of $\sin(x)$?
3. Can you explain the Pythagorean theorem?
4. How do you find the area of a circle?
5. What is the derivative of $e^x$?

Tip: When finding derivatives, it helps to be familiar with basic rules like the power rule, product rule, and chain rule.