If $f$ and $g$ are differentiable functions in $[0, 1]$ satisfying $f\left( 0 \right) = 2 = g\left( 1 \right)\;,\;\;g\left( 0 \right) = 0,$ and $f\left( 1 \right) = 6,$ then for some $c \in \left] {0,1} \right[$ . .
If $f$ and $g$ are differentiable functions in $[0, 1]$ satisfying $f\left( 0 \right) = 2 = g\left( 1 \right)\;,\;\;g\left( 0 \right) = 0,$ and $f\left( 1 \right) = 6,$ then for some $c \in \left] {0,1} \right[$ . .
- [JEE MAIN 2014]
- A
$f'\left( c \right) = g'\left( c \right)$
- B
$f'\left( c \right) = 2g'\left( c \right)$
- C
$2f'\left( c \right) = g'\left( c \right)$
- D
$2f'\left( c \right) = 3g'\left( c \right)$
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