JEE Problem

Level pending

Let f be a real valued function defined on the interval \((-1,1)\) such that \({ e }^{ -x }f\left( x \right) =2+\int _{ 0 }^{ x }{ \sqrt { { t }^{ 4 }+1 } dt } \), for all \(x\epsilon (-1,1)\) and let \(f^{ -1 }\) be the inverse funtion of \(f\). Then, \((f^{ -1 })'(2)\) is equal to

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