To find the derivative of a function, you would apply the rules of differentiation, such as:

1. **Power Rule**:  
   For \( f(x) = x^n \), the derivative is \( f'(x) = n \cdot x^{n-1} \).

2. **Product Rule**:  
   For \( f(x) = u(x) \cdot v(x) \), the derivative is  
   \( f'(x) = u'(x) \cdot v(x) + u(x) \cdot v'(x) \).

3. **Quotient Rule**:  
   For \( f(x) = \frac{u(x)}{v(x)} \), the derivative is  
   \( f'(x) = \frac{u'(x) \cdot v(x) - u(x) \cdot v'(x)}{v(x)^2} \).

4. **Chain Rule**:  
   For a composite function \( f(g(x)) \), the derivative is  
   \( f'(x) = f'(g(x)) \cdot g'(x) \).

These rules can be applied individually or in combination depending on the form of the function you wish to differentiate.

Do you have a specific function you'd like to find the derivative of?

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Here are some relevant questions to deepen your understanding:

1. What is the derivative of \( f(x) = x^3 \)?
2. How do you differentiate \( f(x) = e^{2x} \)?
3. What is the product rule used for?
4. How would you find the derivative of \( \sin(x) \cdot \cos(x) \)?
5. How does the chain rule apply to \( f(x) = \sin(3x) \)?

**Tip**: When differentiating complex functions, break them down into smaller parts and apply the rules systematically.

Explore the basics of finding the derivative of a function using the Power Rule, Product Rule, Quotient Rule, and Chain Rule. This guide breaks down key calculus concepts, suitable for students in Grades 11-12 and early college. Perfect for mastering differentiation.

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