# 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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