You have the function $f(x) = (2e^{3x} + 4x)^3$.

Would you like to differentiate, integrate, or analyze this function in some other way? Let me know what you'd like to do with it!

Questions for further exploration:

1. Would you like to find the derivative of $f(x)$?
2. Do you want to compute the integral of $f(x)$ over a specific interval?
3. Are you looking for the behavior of this function as $x \to \infty$?
4. Would you like to find the critical points of $f(x)$?
5. Are you interested in visualizing the graph of this function?

Tip:

When working with composite functions, it can be helpful to apply the chain rule for differentiation or substitution for integration.