From mean value theorem: \( f(b)-f(a)=(b-a) f^{\prime}\left(x_{1}\r...

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From mean value theorem: \( f(b)-f(a)=(b-a) f^{\prime}\left(x_{1}\right) ; ax_{1}b \) if \( f(x)=\frac{1}{x} \), then \( x_{1}= \)
(A) \( \sqrt{a b} \)
(B) \( \frac{a+b}{2} \)
\( \mathrm{P} \)
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(C) \( \frac{2 a b}{a+b} \)
(D) \( \frac{b-a}{b+a} \).
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