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f(x)=xlogexmonotonically decreases in

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ctaimg
a
(0,1/e)
b
(1/e,1)
c
(1,∞)
d
(1/e,∞)
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detailed solution

Correct option is A

f(x)=xloge⁡x For g(x)=x logex,g′(x)=x1x+loge⁡x=1+loge⁡xThus, g (x) increases for 1e,∞and decreases for 0,1e. From the graph,f(x)=xloge⁡x decreases in 0, 1e.


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