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If f is continuous on [a,b] and differen...

If f is continuous on [a,b] and differentiable in (a,b) (ab `gt ` 0 ) , then there exists `c in (a,b)` such that `(f(b)-f(a))/((1)/(b) - ( 1)/(a))=`

A

`-c^(2) f (c )`

B

`c^(2) f (c )`

C

`- c f' ((1)/( c ))`

D

`cf' ((1)/( c^(2)))`

Text Solution

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The correct Answer is:
A
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