Answer :
Final answer:
The problem requires knowledge of integration to identify the original function from its derivative. The original function can be found by integrating the given derivative function.
Explanation:
The question seems to present a function f'(x) = 3x³ + 9x² + 18x and asks for possible forms of the original function f(x). However, given equations don't lead to a definitive conclusion. We could only identify the original function by integrating the given function, f'(x). This is a key concept in calculus and requires knowledge of integration rules. For example, the integral of x³ is (1/4)x⁴ and the integral of x² is (1/3)x³, and so on.Integration, calculus, and polynomial functions are key topics related to this problem.
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