The derivative of the function \( f(x) = 5x + 3 \) is found using basic differentiation rules. Specifically, the derivative of a linear term \( ax \) is \( a \), and the derivative of a constant is 0.

So, the derivative is:

\[
\frac{d}{dx}(5x + 3) = 5
\]

This means that the rate of change of the function \( 5x + 3 \) is constant and equal to 5.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is the derivative of \( 7x + 2 \)?
2. How do you find the derivative of \( x^2 + 5x + 3 \)?
3. What is the second derivative of \( 5x + 3 \)?
4. How does the derivative of a linear function differ from a quadratic one?
5. Can you explain the geometric interpretation of the derivative?

**Tip**: For any constant term in a function, its derivative is always zero.

Understand how to find the derivative of the linear function 5x + 3 with this simple explanation. Learn key calculus concepts, including the basic differentiation rules and why the rate of change for linear terms is constant. Suitable for students in Grades 10-12.

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