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anonymous

  • one year ago

what part of the graph of f'(x) determines the inflection points of f(x)???

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  1. anonymous
    • one year ago
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    |dw:1440028143297:dw|

  2. anonymous
    • one year ago
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    To find the inflection point you find the 2nd derivative of f(x) and then find x ( f''(x)=0 )

  3. anonymous
    • one year ago
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    okay so the x intercepts of f'(x) are the inflection points on f(x) right?

  4. jim_thompson5910
    • one year ago
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    The extrema of f ' (x) have the same x coordinates of the roots of f '' (x), which is also where the inflection points on f(x) have the same x coordinates

  5. jim_thompson5910
    • one year ago
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    `okay so the x intercepts of f'(x) are the inflection points on f(x) right?` incorrect

  6. anonymous
    • one year ago
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    okay i think i understand , where the tangent is zero on the graph of f'(x) is where f(s) has an inflection point

  7. jim_thompson5910
    • one year ago
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    sorta, it has to be an extrema

  8. jim_thompson5910
    • one year ago
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    the tangent slopes have to change from positive to negative, or vice versa

  9. anonymous
    • one year ago
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    what do you mean by extrema ?

  10. jim_thompson5910
    • one year ago
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    let's say we had this f ' (x) graph |dw:1440028912113:dw|

  11. jim_thompson5910
    • one year ago
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    |dw:1440028941193:dw|

  12. jim_thompson5910
    • one year ago
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    but it's not a local min and not a local max

  13. jim_thompson5910
    • one year ago
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    we need something like this or this |dw:1440028990706:dw|

  14. anonymous
    • one year ago
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    okay so where ever the graph of f'(x) has a local max or min the graph of f(x) has an inflection point ?

  15. jim_thompson5910
    • one year ago
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    correct

  16. jim_thompson5910
    • one year ago
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    "extrema" is a way to say "min or max" it's the extreme portion of the graph, so to speak

  17. anonymous
    • one year ago
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    thank you very much i can now solve loads of problems :D

  18. jim_thompson5910
    • one year ago
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    you're welcome. I'm glad it's making sense now

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