To find the derivative of the function $f(x) = x^2 - 3x$, we apply the rules of differentiation.

The function is: $f(x) = x^2 - 3x$

Using the power rule, which states that $\frac{d}{dx}(x^n) = nx^{n-1}$, we differentiate each term separately.

1. The derivative of $x^2$ is $2x$.
2. The derivative of $-3x$ is $-3$.

So, the derivative of the function is: $f'(x) = 2x - 3$

Therefore, the derivative of $x^2 - 3x$ is: $(x^2 - 3x)' = 2x - 3$

Would you like more details or have any questions?

Here are some questions you might want to ask:

1. How do you differentiate a product of functions?
2. What is the chain rule in differentiation?
3. How do you find the derivative of a trigonometric function?
4. Can you explain implicit differentiation?
5. How do you find the second derivative of a function?

Tip: Always remember to apply the differentiation rules to each term in the function separately before combining the results.