The derivative of the function $y = \sqrt{-6 + 5x}$ is:

$\frac{dy}{dx} = \frac{5}{2 \sqrt{5x - 6}}$

Would you like further details on how this was derived or have any questions?

Here are 5 related questions to deepen your understanding:

1. What is the derivative of $\sqrt{x}$ with respect to $x$?
2. How do you apply the chain rule to composite functions?
3. Can you find the second derivative of $y = \sqrt{-6 + 5x}$?
4. How does the derivative of a square root function change as the value of $x$ changes?
5. What happens to the derivative if the constant inside the square root is positive instead of negative?

Tip: When differentiating composite functions involving square roots, applying the chain rule simplifies the process significantly.