# JEE-Mains 2014 (12/30)

Calculus Level 3

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 $$c \in (0,1)$$ :

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