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.