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Let f : [2,7] rarr [ 0 , oo) be a conti...

Let `f : [2,7] rarr [ 0 , oo)` be a continuous and differentiable function. Then, the value of `(f (7) - f(2)) ((f(7))^(2)+ (f(2))^(2) + f(2). f(7))/(3)` is ( where `c in ( 2, 7 ) ` )

A

`3f^(2) .( c ) f'( c ) `

B

`5f^(2) ( c ) . f( c )`

C

`5f^(2) ( c ) . f'( c ) `

D

`3f^(2)(c ) .f(c )`

Text Solution

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The correct Answer is:
C
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