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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