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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.

Find the derivative of the function y = √(-6 + 5x).

Learn how to find the derivative of the function y = √(-6 + 5x) using the Chain Rule. This calculus problem is suitable for students in Grades 11-12 and involves differentiating composite functions involving square roots.

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