Calculus needed here?

Algebra Level 4

\[\large f(x) =\sqrt [ 3 ]{ 1-x } +\sqrt [ 3 ]{ x+3 }, \,\,x\in \mathbb{R} \]

Suppose \(L\) is the maximum value of the function \(f\). Find the value of \(\lfloor 10000L\rfloor\).

\(\)
Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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