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isabellaxochitl
Group Title
what are the critical numbers of f(x)= 4x/(x^2 +1)?
 one year ago
 one year ago
isabellaxochitl Group Title
what are the critical numbers of f(x)= 4x/(x^2 +1)?
 one year ago
 one year ago

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dpaInc Group TitleBest ResponseYou've already chosen the best response.0
did u already calculate the derivative?
 one year ago

dpaInc Group TitleBest ResponseYou've already chosen the best response.0
what's f ' (x) = ??
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
dw:1358921318013:dw
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
do i simplify it further or just set it to 0 now?
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
to simplify makes setting it = to 0 much easier
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
ok i need help simplifying it…i don't think i am doing it right so far
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
k also the critical points are what makes the top part become 0 .. or what makes the bottom part not exist.. in this case all reals exist on the domain... so we just gotta worry bout setting the top = to 0
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
so i just completely forget the bottom part?
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
dw:1358921549240:dw
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
i wouldnt say forget bout the bottom part... but usually in the 1st derivative test its worthless.. unless theres a square root or something that might make it non existiant
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
hmm let me think... i gotta make sure i didnt say soemthing wrong
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
dw:1358921732409:dw
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
wait wait that was wrong i got it its 1
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
k i also need to add that critical points are when the derivative = 0 on the bottom or top.. and when its undefined... but it must all be in the domain
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
We say that x=c is a critical point of the function f(x) if exists and if either of the following are true. f'(c)=0 or doesnt exist
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
dw:1358922243760:dw
 one year ago

Goten77 Group TitleBest ResponseYou've already chosen the best response.0
but ultimately the 1 and 1 are the critical points... sorry i kinda am lost in calculus *been a while since i did it* but making the top = to 0 and finding where stuff doesnt exist is where critical points are.... srry if i say something wrong but this info should be correct
 one year ago

isabellaxochitl Group TitleBest ResponseYou've already chosen the best response.0
thanks for the help!
 one year ago
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