Question 7

Algebra Level 4

let $f:R\rightarrow R$ be a bijective function and $f'(x)=\dfrac {x^{100}+1}{x^{100}+2}$ . If $f(1)=\alpha$ , then $(f^{-1})' (\alpha) =?$

$\bullet$ This question is part of the set For the JEE-nius;P