If g is the inverse of f and \(\mathrm{f}^{\prime}(x)=\frac{1}{1+x^3}\), then g'(x) is

1
\(\frac{1}{1+(g(x))^3}\)
2
\(1+(g(x))^3\)
3
\(\frac{g(x)}{1+(g(x))^3}\)
4
\(\frac{(\mathrm{g}(x))^3}{1+(\mathrm{g}(x))^3}\)

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