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shefali sharma Grade: 12
        

find greatest and least value of fxn


f(x)= x+ 1/x


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

7 years ago

Answers : (1)

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
										

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

7 years ago
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