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find greatest and least value of fxn f(x)= x+ 1/x where a) x>0 (b) x belongs to R-{0}

find greatest and least value of fxn


f(x)= x+ 1/x


where a) x>0    (b) x belongs to R-{0}

Grade:12

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear STUDENT NAME,

Ans:- The given function is f(x)=x+1/x the 1st order derivative is=1-1/x²

The 2nd order derivative is=2/x³ Putting dy/dx=0 we get, x=+1, -1 Again checking the conditions for max && min in the 2nd order derivative we get the values as

Max value= -2

Min value=+2

Look carefully that the max value is less than that of the min value.

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Regards,

Askiitians Experts
Soumyajit Das IIT Kharagpur

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