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The given expression is:

\[
y = \left( \frac{3 - 5x}{17 + 4x} \right)^{11}
\]

To solve this or analyze it, we could approach it in several ways depending on the context, such as:

1. **Find the derivative (dy/dx)**: This would require the chain rule and the quotient rule due to the composition and division of functions.
2. **Simplify the expression**: Simplify any common terms (though in this case, no direct simplifications are apparent at first glance).
3. **Find critical points or analyze the behavior of the function**: For example, solving \( y = 0 \), or identifying asymptotes or intercepts.
4. **Find the limit** as \( x \to \infty \) or \( x \to -\infty \).
5. **Substitute values of \(x\)** for specific cases.

Please let me know how you would like to proceed, or if you'd like me to clarify any specific steps.

Here are five related questions to consider:
1. Would you like to find the derivative of this function?
2. Should we analyze the critical points or extrema of this function?
3. Would you like to evaluate this function for specific values of \(x\)?
4. Should we find the behavior of this function at limits (e.g., as \(x\) approaches infinity)?
5. Do you need to simplify or rewrite the expression in any specific form?

**Tip**: When dealing with functions raised to a power, the chain rule is essential for differentiating correctly.

Learn how to find the derivative of the function y = (3 - 5x / 17 + 4x)^11 using the chain rule and quotient rule. This problem covers key calculus concepts and is suitable for students in Grades 10-12.

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