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From mean value theoren : `f(b)-f(a)=(b-a)f^(prime)(x_1); a lt x_1 lt b` if `f(x)=1/x` , then `x_1` is equal to

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From mean value theoren : `f(b)-f(a)=(b-a)f^(prime)(x_1); a lt x_1 lt b` if `f(x)=1/x` , then `x_1` is equal to
A. `(a+b)/(2)`
B. `sqrt(ab)`
C. `(2ab)/(a+b)`
D. `(b-a)/(b+a)`
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Correct Answer - B
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