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.