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Let f(x) be continuous on [0, 4] , diffe...

Let f(x) be continuous on [0, 4] , differentiable on (0, 4) , f(0) = 4 and f(4) = -2 . If `g(x) =(f(x))/(x + 2)` , then the value of g'(c ) for some Lagrange's constant `c in (0 , 4)` is

A

`1/2`

B

`5/12`

C

`-5/12`

D

`-7/12`

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The correct Answer is:
D
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