A) \[\frac{5}{12}\]
B) \[\frac{7}{12}\]
C) 1
D) \[\frac{4}{7}\]
Correct Answer: B
Solution :
[b] Curve tracing, \[y=x{{\log }_{e}}x\] Clearly \[x>0\], For \[0<x<1,x{{\log }_{e}}x<0,\] and for \[x>1,x{{\log }_{e}}x>0\] Also \[x{{\log }_{e}}x=0\] or \[x=1\] Further \[\frac{dy}{dx}=0\Rightarrow 1+{{\log }_{e}}x=0\] or \[x=1/e\], which is point of minima.You need to login to perform this action.
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