Question:medium
If \( f \) is the inverse function of \( g \) and \( g'(x) = \frac{1}{1+x^n} \), then the value of \( f'(x) \) is:
If \( f \) is the inverse function of \( g \) and \( g'(x) = \frac{1}{1+x^n} \), then the value of \( f'(x) \) is:
Show Hint
For inverse functions, always remember:
\[
f'(x) = \frac{1}{g'(f(x))}
\]
where \( g \) is the original function and \( f \) is its inverse.
Updated On: Nov 28, 2025
- \( 1 + \{ f(x) \}^n \)
- \( 1 - \{ f(x) \}^n \)
- \( \{ 1 + f(x) \}^n \)
- \( \{ f(x) \}^n \)
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