You have provided the function $h(x) = (-4x + 3)^5$. How can I assist you with it? Would you like to:

1. Differentiate the function?
2. Expand the expression?
3. Evaluate the function for a specific value of $x$?
4. Find the critical points or analyze its behavior?
5. Graph the function?

Please let me know how you'd like to proceed!

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Here are 5 related questions:

1. How do you find the derivative of a power function?
2. What is the chain rule in calculus, and how does it apply here?
3. How do you factor the expansion of binomials?
4. What is the impact of the leading coefficient on the shape of the graph?
5. How does a transformation like $-4x + 3$ affect the function's behavior?

Tip: When differentiating a composite function like $(-4x + 3)^5$, using the chain rule is essential to correctly apply both the outer and inner derivatives.