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The given function is \( A(p) = 4p^3 + 3p \).

Would you like to:

1. Take the derivative of \( A(p) \)?
2. Solve \( A(p) \) for a specific value of \( p \)?
3. Analyze the behavior of the function for large or small values of \( p \)?
4. Explore the critical points or local extrema of the function?
5. Evaluate the integral of \( A(p) \)?

Please let me know what you'd like to do! Here's a tip: when differentiating, remember to apply the power rule for each term independently.

This problem focuses on the differentiation of the polynomial function A(p) = 4p^3 + 3p. Learn how to apply the power rule to each term independently and explore critical points or behavior of the function. Suitable for students in Grades 10-12.

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