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Find the least value of f(x)=a x+b/x ...

Find the least value of `f(x)=a x+b/x ,` where `a >0,\ \ b >0` and `x >0` .

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Given `f(x)=a x+\frac{b}{x} \quad a>0, b>0, x>0`
`f(x)=a-\frac{b}{x^{2}}`
for critical points
`f^{\prime}(x)=0` ...
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RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
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  2. Write the point where f(x)=x\ (log)e x attains minimum value.

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  7. The maximum value of x^(1/x),x &gt;0 is (a)e^(1/e) (b) (1/e)^e (c)...

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  8. If a x+b/xgeqc for all positive x where a ,\ b ,\ >0 , then a b<(c^2)/...

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  13. The number which exceeds its square by the greatest possible quanti...

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  15. The sum of two non-zero numbers is 8, the minimum value of the sum ...

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