Let \( f(x) = \displaystyle \int_2^x \dfrac{t}{\sqrt{1 + t^4}}\text{dt}\) and g be the inverse of \(f\).

Then the value of \( g'(0)\) is

**Clarification**:

- \(f'(x)\) means first derivative of \(f(x)\) with respect to x.

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