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if the functions f(x) and phi (x ) are c...

if the functions f(x) and `phi (x )` are continuous in [a,b] and differentiable in (a,b) , then the value of 'c' for the pair of function `f (x) = sqrt(x ) , phi (x) = ( 1)/( sqrt(x))` is

A

`sqrt(a)`

B

`sqrt(b)`

C

`sqrt(ab)`

D

`- sqrt(ab)`

Text Solution

Verified by Experts

The correct Answer is:
C
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