Maxima and MinimaHard
Question
The maximum value of (1/x)x is-
Options
A.e
B.(e)1/e
C.(1/e)e
D.ee
Solution
f(x) = (1/x)x
lny = xln(1/x) = - xlnx
= - [1 + lnx]
(lnx + 1)
fMax = (1/1/e)1/e = e1/e
lny = xln(1/x) = - xlnx
= - [1 + lnx](lnx + 1)fMax = (1/1/e)1/e = e1/e
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