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Calculus Level 4

\[\large f(x) = f^{1}(x)f^2(x)\]

Given the above and that \(f(a) = 0\) and \(f^{n}(a)(f^{l}(a))^2 = 28\). Find \(n+l+1\).

Notation: \(f^{k}(x)\) denotes \(k^\text{th}\) derivative of \(f(x)\).

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