defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Relations and Functions Inverse of a Function
If \(g(x)\) is the inverse function of \(f(x)\) and \(f'(x) = \dfrac {1}{1 + x^{4}}\), then \(g'(x)\) is
1
\(1 + [g(x)]^{4}\)
2
\(1 - [g(x)]^{4}\)
3
\(1 + [f(x)]^{4}\)
4
\(\dfrac {1}{1 + [g(x)]^{4}}\)