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From mean value theorem, f(b)-f(a) = (b-...

From mean value theorem, `f(b)-f(a) = (b-a)f^(1)(x_(1)), a lt x_(1) lt b` if `f(x) = ( 1)/( x)` then `x_(1) `=

A

`sqrt(ab)`

B

`(a+b)/(2)`

C

`(ab)/(a+b)`

D

`(b-a)/(b-a)`

Text Solution

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The correct Answer is:
A
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