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farmergirl411

  • one year ago

I need help figuring out how the derivative of the graph would look approximatially.

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  1. farmergirl411
    • one year ago
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    |dw:1362964903781:dw|

  2. farmergirl411
    • one year ago
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    This is the original graph how would the derivative look

  3. ahdreaonna
    • one year ago
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    rigth

  4. ahdreaonna
    • one year ago
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    so

  5. zepdrix
    • one year ago
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    |dw:1362965404144:dw|These are the easy points to start with. Draw tangent lines. See how the slope of these tangent lines is 0. That means the VALUE of the derivative function will be zero.

  6. zepdrix
    • one year ago
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    |dw:1362965478556:dw|

  7. farmergirl411
    • one year ago
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    so then the derivative just goes along the x line

  8. zepdrix
    • one year ago
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    No, the derivative passes through the x-axis at those 3 points :) now let's find some other points.

  9. farmergirl411
    • one year ago
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    ok

  10. zepdrix
    • one year ago
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    |dw:1362965586761:dw|Understand how I drew the line tangent to the curve? See how it's pointing downward (read from left to right). It has an extremely negative slope. Meaning the derivative function will have an extremely negative VALUE at this x coordinate.

  11. zepdrix
    • one year ago
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    |dw:1362965677365:dw|

  12. farmergirl411
    • one year ago
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    ok

  13. ahdreaonna
    • one year ago
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    well then there you ave it

  14. zepdrix
    • one year ago
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    |dw:1362965734778:dw|Now the function is starting to come together! c:

  15. zepdrix
    • one year ago
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    Have you learned about inflection points? :o Is this all too confusing farmergal? :c

  16. farmergirl411
    • one year ago
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    no so then does it just go up to the x line then hit the dots on the x line.

  17. zepdrix
    • one year ago
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    Yes, but it will keep going past the x line, how far? Well until we reach the inflection point.

  18. farmergirl411
    • one year ago
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    Now I'm confussed when you say it keeps going to the inflection point.

  19. zepdrix
    • one year ago
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    |dw:1362965901972:dw|Right around that point, it changes from `Concave Up` to `Concave Down`.

  20. farmergirl411
    • one year ago
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    |dw:1362965979553:dw|SO it will look like this

  21. zepdrix
    • one year ago
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    |dw:1362965980976:dw|

  22. zepdrix
    • one year ago
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    Ummmm yah it looks like that's where we're headed :)

  23. farmergirl411
    • one year ago
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    ok I got it so far.

  24. zepdrix
    • one year ago
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    |dw:1362966105601:dw|

  25. farmergirl411
    • one year ago
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    ok

  26. zepdrix
    • one year ago
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    |dw:1362966148110:dw|So at that x coordinate, our derivative function reaches the bottom of the bowl :D

  27. farmergirl411
    • one year ago
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    ok go it

  28. zepdrix
    • one year ago
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    |dw:1362966245521:dw|If we check one last point way on the right over here, it appears to be very positive slope, so the derivative function will have a very positive value.

  29. zepdrix
    • one year ago
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    |dw:1362966295539:dw|

  30. zepdrix
    • one year ago
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    Something like that, the original graph was a tad sloppy. So it's hard to say for certain :) heh

  31. farmergirl411
    • one year ago
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    ok got it thanks

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