Let $f ( x ) = \sqrt { x } \ln x$

question 232

Multiple Choice

Let $f ( x ) = \sqrt { x } \ln x$ . Find the interval on which $f$ is increasing.

• A) \(( 0 , \infty )\)
• B) \(( 0,1 ]\)
• C) \([ 1 , \infty )\)
• D) \(\left( 0 , e ^ { - 1 } \right]\)
• E) \(\left[ e ^ { - 1 } , \infty \right)\)
• F) \(\left( 0 , e ^ { - 2 } \right]\)
• G) \(\left[ e ^ { - 2 } , \infty \right)\)
• H) \(( 0 , \sqrt { e } )\)

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