# Just don't get bored

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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