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soccergal12 Group Title

find all relative extrema and points of inflection: f(x) = 2 / (x^2 - 4) i got x^2 = -4/3 as an inflection point. but i think i did something wrong

  • 2 years ago
  • 2 years ago

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  1. dpaInc Group Title
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    no... nothing wrong there... what happens when you take the square root of a negative number?

    • 2 years ago
  2. soccergal12 Group Title
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    well you can't take a sqaure root of a negative number. so i wouldn't have any inflection points right?

    • 2 years ago
  3. dpaInc Group Title
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    right... that's what that means...

    • 2 years ago
  4. dpaInc Group Title
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    but that does not mean the graph is all concave up or all concave down.... there can be places on your graph where in one interval its ccup and in another it's ccdown...

    • 2 years ago
  5. dpaInc Group Title
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    or vice versa....

    • 2 years ago
  6. soccergal12 Group Title
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    okay, the question does not ask for concavity, but should i still determine if there is some type of concavity? just to be safe?

    • 2 years ago
  7. dpaInc Group Title
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    sorry... hate when chrome crashes... no we don't need concavity but the question did ask for points of inflection...

    • 2 years ago
  8. dpaInc Group Title
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    so according to what u got, there are no points of inflection...

    • 2 years ago
  9. dpaInc Group Title
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    now all you need are relative max/mins... do you have your first derivative?

    • 2 years ago
  10. soccergal12 Group Title
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    yes , it was (-4x) / (x^2 -4)^2

    • 2 years ago
  11. dpaInc Group Title
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    so what's your critical number(s) ?

    • 2 years ago
  12. soccergal12 Group Title
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    0, 2 and -2, i said there was a relatve max at (0, -1/2)

    • 2 years ago
  13. dpaInc Group Title
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    ok.... now do the first derivative test on the intervals: (-infinity, -2) (-2, 0) (0, 2) (2, infinity)

    • 2 years ago
  14. soccergal12 Group Title
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    i did that and found the relative max

    • 2 years ago
  15. dpaInc Group Title
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    oh... sorry... i guess you're done...:)

    • 2 years ago
  16. soccergal12 Group Title
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    perfect. thank you :)

    • 2 years ago
  17. dpaInc Group Title
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    yw...:)

    • 2 years ago
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