Offline paper
Mathematics · 2014
JEE Main 2014 · 2014-04-06 Offline · Q72
If f and g are differentiable functions in [0, 1] satisfying f(0)=2=g(1), g(0)=0 and f(1)=6, then for some c ε] 0,1[:
If $\displaystyle f$ and $\displaystyle g$ are differentiable functions in [$\displaystyle 0$, $\displaystyle 1$] satisfying $\displaystyle f(0)=2=g(1), g(0)=0$ and $\displaystyle f(1)=6$, then for some $\displaystyle \mathrm{c} \epsilon] 0,1[$ :
Official answer
(2)
$\displaystyle f^{\prime}(c)=2 g^{\prime}(c)$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.