Countable derivative

Calculus Level 4

\( f: \mathbb{N} \rightarrow \mathbb{R} \) is defined as

\[ f(x)=x + x + x +\ldots (x \text{ times}) \]

Find \(f'(x)\).

Clarification:
\(f'(x)\) represents the derivative of \(f(x)\) with respect to \(x\).

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