A calculus problem by Hemantika Sengar

Calculus Level 4

\(f: \mathbb R \to \mathbb R\) satisfies \(f(x+y^3) = f(x) + (f(y))^3 \) for all \(x,y \in \mathbb R\). And \(f'(0) \geq 0 \). Find \(f(10) \).

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