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Differential Calculus

Blazing goIITian

Joined:	12 Apr 2008
Post:	424

14 Aug 2009 14:19:54 IST

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522

how will be a rough sketch of x lnx looks like??? (just draw sketch...no need for procedure..i just

None

how will be a rough sketch of x lnx looks like???(just draw sketch...no need for procedure..i just wants to check my ans.)

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AIR 538 Asish

Blazing goIITian

Joined: 29 Nov 2008

Posts: 1137

14 Aug 2009 14:33:14 IST

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y=xlnx ,,,,,, dy/dx = 1+lnx .... which is positive when lnx>-1 or x>1/e and negative when x<1/e. ... so x=1/e is a minima .... d(dy/dx)/dx = 1/x which is positve when x>0

at x=1, y=0 and at x=infinity y=infinity ,,,, domain is x=(0 to infinity)

Lim(x-->0+)xlnx = 0 .... at x=1/e , y= -1/e

audacityofhope

Scorching goIITian

Joined: 21 Jul 2009

Posts: 290

14 Aug 2009 15:40:05 IST

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CHECK IT HERE..... http://www.wolframalpha.com/input/?i=x+ln+x

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