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The function provided is:

\[
h(x) = 6[f(x)]^4 + 5f(10x)
\]

If you'd like, I can help you with differentiation, solving for a specific \( f(x) \), or exploring other aspects of this function. Could you clarify what you need to do with this expression?

Would you like to:

1. Find the derivative of \( h(x) \)?
2. Explore properties of the function \( f(x) \)?
3. Solve for \( h(x) \) given a specific \( f(x) \)?
4. Expand this expression further?
5. Analyze limits or behavior at specific points?

Tip: When working with composite functions, pay attention to chain rule applications in differentiation.

This problem explores the function h(x) = 6[f(x)]^4 + 5f(10x), involving differentiation and applying the chain rule. Suitable for advanced calculus students, this walkthrough includes concepts like composite functions and differentiation rules.

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