Let \( f(x)=\int_{2}^{x} \frac{d t}{\sqrt{1+t^{4}}} \) and \( g \) be the inverse of \( f \). Th...

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Let \( f(x)=\int_{2}^{x} \frac{d t}{\sqrt{1+t^{4}}} \) and \( g \) be the inverse of \( f \). Then the value of \( g^{\prime}(0) \) is
(A) 1
(B) 17
(C) \( \sqrt{17} \)
(D) None of these
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