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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}
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 ExpertsSoumyajit Das IIT Kharagpur
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