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Let f(x) be continuous on [0, 6] and dif...

Let f(x) be continuous on [0, 6] and differentiable on (0, 6). Let f(0) = 12 and `f(6) = -4`.
If `g(x)=(f(x))/(x+1)`, then for some Lagrange's constant `c in (0,6),g'( c )=`

A

`-(44)/(3)`

B

`-(22)/(21)`

C

`(32)/(21)`

D

`-(44)/(21)`

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The correct Answer is:
D
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