Question

If g is the inverse of a function f and f'(x) = $\frac{1}{1+x^{5}}$, then g'(x) is equal to:
(a) $\frac{1}{1+\{g(x)\}^{5}}$
(b) 1 +{g(x)}⁵
(c) 1 + x⁵
(d) 5x⁴

Answer 1

If g is the inverse of a function f and f'(x) = $\frac{1}{1+x^{5}}$, then g'(x) is equal to:

(a) $\frac{1}{1+\{g(x)\}^{5}}$

(b) 1 +{g(x)}⁵

(c) 1 + x⁵

(d) 5x⁴