JEE-Mains 2014 (12/30)

Calculus Level 2

If ff and gg are differentiable functions in (0,1)(0,1) satisfying f(0)=2=g(1)f(0)=2=g(1), g(0)=0g(0)=0 and f(1)=6f(1)=6, then for some c(0,1)c \in (0,1) :

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