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B
The function (x) has an inflection point.
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C
The function (x) is strictly decreasing on (0,∞)
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D
The function (x) is strictly increasing on (0,∞)
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Solution
The correct option is A The function (x) has an extremum point at x=b Given, f(x)=blnx−x ⇒f′(x)=bx−1=0 For extrema of f(x), f′(x)=0⇒x=b ⇒x=b is point of extremum