JEE Main 2014 · 6 Apr · Shift 1 · Mathematics Q71

MathematicsSingle correct+4 / -1Question 71 of 90

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

\dfrac{1}{1+\{g(x)\}^5}

1+\{g(x)\}^5

1+x^5

5x^4

Answer and worked solution

Official answer: B

$f(g(x))=x$ gives $g'(x)=\dfrac1{f'(g(x))}=1+\{g(x)\}^5$ .

JEE Main 2014 · 6 Apr · Shift 1, Mathematics question 71