To find the derivative of the function \( f(x) = a^x \), where \( a \) is a constant, we can use the following formula:

\[
\frac{d}{dx} a^x = a^x \ln(a)
\]

So, the derivative of \( a^x \) is:

\[
f'(x) = a^x \ln(a)
\]

If you need further details or have any questions, feel free to ask! Here are some related questions to consider:

1. What is the derivative of \( e^x \)?
2. How do you differentiate \( a^{kx} \) where \( k \) is a constant?
3. Can you explain the significance of the natural logarithm in this context?
4. How would you apply this derivative in real-world scenarios?
5. What are some properties of exponential functions? 

**Tip:** Remember that the base \( a \) must be positive and not equal to 1 for the function \( a^x \) to be valid.

Discover how to find the derivative of the function a^x using the formula \( \frac{d}{dx} a^x = a^x \ln(a) \). This topic is essential for understanding calculus and its applications in real-world scenarios. Suitable for high school students in Grades 11-12.

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