Diffrentiate or integrate? I'm so confused

Calculus Level 4

Let \(f\) be a real valued function defined on the interval \( (-1,1)\) such that \( \displaystyle { e }^{ -x }f\left( x \right) =2+\int _{ 0 }^{ x }{ \sqrt { { t }^{ 4 }+1 } \, dt }\) for all \(x\in(-1,1)\)and let \(f^{ -1 }\) be the inverse function of \(f\). Then find the value of \(3{ ({ f }^{ -1 }) }^{ { ' } }\left( 2 \right) \) where \((')\) represents \(\frac { dy }{ dx } \).

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