anonymous
  • anonymous
Need some help identifying the increase intervals of the graph of xtanx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1349987981581:dw|
Venomblast
  • Venomblast
is this in radian?
anonymous
  • anonymous
i know this is a even function about the y axis, and the domain and asymptotes are pi/2,-pi/2

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anonymous
  • anonymous
just wondering how to show the intervals of increase and decrease
Venomblast
  • Venomblast
so -90 degrees
anonymous
  • anonymous
usually i take f'x and solve for 0
Venomblast
  • Venomblast
i see
Venomblast
  • Venomblast
i see no 0. is this is an equation?
anonymous
  • anonymous
f'x=tanx+xsec^2x
anonymous
  • anonymous
@zepdrix hey do you think you could explain how they designate zero as a critical point?
anonymous
  • anonymous
|dw:1349988599121:dw|
anonymous
  • anonymous
should i just know that, from the x and y intercepts and the even symetry? and a basic knowledge of the tanx graph?
anonymous
  • anonymous
because when i set my derivative = 0 i have problems
zepdrix
  • zepdrix
|dw:1349988578994:dw| Hmm yah this derivative does seem to be putting up a fight :\ Hmmmmm
anonymous
  • anonymous
i tried changing everything to sines and cosines and still a mess
zepdrix
  • zepdrix
|dw:1349988855254:dw| Ah good call, I think that's how you find it! :) The top is a big mess, yes. But the bottom I think you can solve for a critical point.
anonymous
  • anonymous
|dw:1349988866328:dw|
Venomblast
  • Venomblast
get the common denominator. so multiply cosx on the 1st term
anonymous
  • anonymous
thats it zep!!!!!!!!
Venomblast
  • Venomblast
? zep?
anonymous
  • anonymous
@zepdrix :D
Venomblast
  • Venomblast
i guess he/she got it from here
zepdrix
  • zepdrix
|dw:1349989056773:dw|
anonymous
  • anonymous
i think the top should be ignored
anonymous
  • anonymous
the book doesent have a mention of it
anonymous
  • anonymous
neither does the graph
anonymous
  • anonymous
the only root is 0
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=graph+xtanx
anonymous
  • anonymous
maybe it would matter if the interval was larger than -pi/2,pi/2
zepdrix
  • zepdrix
yah fair enough c:
zepdrix
  • zepdrix
Hmmm wait what was I saying? cos x = 0 Hmm that should give you x = pi/2 right? why did i say it was x = 0? Hmmmmmmmmmmmmmmmmm Now I'm back to being confused about where the 0 critical point is coming from :D lol

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