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.

Learn how to find the derivative of (x^2 - 3x) step-by-step with the power rule for differentiation. Understand the process of differentiating each term separately and combining the results. Suitable for high school students studying calculus.

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