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isabellaxochitl

  • 2 years ago

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

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  1. dpaInc
    • 2 years ago
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    did u already calculate the derivative?

  2. dpaInc
    • 2 years ago
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    what's f ' (x) = ??

  3. Goten77
    • 2 years ago
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    |dw:1358921318013:dw|

  4. isabellaxochitl
    • 2 years ago
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    do i simplify it further or just set it to 0 now?

  5. Goten77
    • 2 years ago
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    to simplify makes setting it = to 0 much easier

  6. isabellaxochitl
    • 2 years ago
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    ok i need help simplifying it…i don't think i am doing it right so far

  7. Goten77
    • 2 years ago
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    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

  8. isabellaxochitl
    • 2 years ago
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    so i just completely forget the bottom part?

  9. Goten77
    • 2 years ago
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    |dw:1358921549240:dw|

  10. Goten77
    • 2 years ago
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    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

  11. Goten77
    • 2 years ago
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    hmm let me think... i gotta make sure i didnt say soemthing wrong

  12. isabellaxochitl
    • 2 years ago
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    |dw:1358921732409:dw|

  13. isabellaxochitl
    • 2 years ago
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    wait wait that was wrong i got it its 1

  14. Goten77
    • 2 years ago
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    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

  15. Goten77
    • 2 years ago
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    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

  16. Goten77
    • 2 years ago
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    |dw:1358922243760:dw|

  17. Goten77
    • 2 years ago
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    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

  18. isabellaxochitl
    • 2 years ago
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    thanks for the help!

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