MonotonicityHard

Question

The function xx decreases on the interval-

Options

A.(0, e)
B.(0, 1)
C.
D.None of these

Solution

y = xx                   logy = x logx
= ( 1 + logx)   = xx  (1 + logx) < 0)
x > 0                   ( 1+ logx) < 0
x < 1/e       ;         x ∈

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