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upendra hembram Grade: 12
        

find the max. & min. value of f(x)=x ln2x

7 years ago

Answers : (1)

askiitian.expert- chandra sekhar
10 Points
										

Hi Upendra,


f(x)=x ln2x ; x>0


f1(x)=x 2 lnx (1/x) + ln2x


         = 2 ln x + ln2x = ln x (lnx+2)


for max or min f1(x) = 0


     x=1 or e-2


f11(x) = 2/x + (2/x) ln x = (2/x)(lnx+1)


at x=1; f11(x) = 2 >0


at x=e-2 ; f11(x) = -2 e2<0


therefore f(x) is max at x=e-2


and minimum at x=1

7 years ago
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