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Let f"[2,7]rarr[0,oo) be a continuous an...

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

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

B

`5f'(c)`

C

`f(c)f'(c)`

D

None of these

Text Solution

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The correct Answer is:
A
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