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isabellaxochitl
 3 years ago
what are the critical numbers of f(x)= 4x/(x^2 +1)?
isabellaxochitl
 3 years ago
what are the critical numbers of f(x)= 4x/(x^2 +1)?

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dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.0did u already calculate the derivative?

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0do i simplify it further or just set it to 0 now?

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0to simplify makes setting it = to 0 much easier

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0ok i need help simplifying it…i don't think i am doing it right so far

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0k 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

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0so i just completely forget the bottom part?

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0i 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

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0hmm let me think... i gotta make sure i didnt say soemthing wrong

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358921732409:dw

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0wait wait that was wrong i got it its 1

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0k 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

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0We 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

Goten77
 3 years ago
Best ResponseYou've already chosen the best response.0but 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

isabellaxochitl
 3 years ago
Best ResponseYou've already chosen the best response.0thanks for the help!
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