farmergirl411 Group Title I need help figuring out how the derivative of the graph would look approximatially. one year ago one year ago

1. farmergirl411

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2. farmergirl411

This is the original graph how would the derivative look

3. ahdreaonna

rigth

4. ahdreaonna

so

5. zepdrix

|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

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7. farmergirl411

so then the derivative just goes along the x line

8. zepdrix

No, the derivative passes through the x-axis at those 3 points :) now let's find some other points.

9. farmergirl411

ok

10. zepdrix

|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

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12. farmergirl411

ok

13. ahdreaonna

well then there you ave it

14. zepdrix

|dw:1362965734778:dw|Now the function is starting to come together! c:

15. zepdrix

Have you learned about inflection points? :o Is this all too confusing farmergal? :c

16. farmergirl411

no so then does it just go up to the x line then hit the dots on the x line.

17. zepdrix

Yes, but it will keep going past the x line, how far? Well until we reach the inflection point.

18. farmergirl411

Now I'm confussed when you say it keeps going to the inflection point.

19. zepdrix

|dw:1362965901972:dw|Right around that point, it changes from `Concave Up` to `Concave Down`.

20. farmergirl411

|dw:1362965979553:dw|SO it will look like this

21. zepdrix

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22. zepdrix

Ummmm yah it looks like that's where we're headed :)

23. farmergirl411

ok I got it so far.

24. zepdrix

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25. farmergirl411

ok

26. zepdrix

|dw:1362966148110:dw|So at that x coordinate, our derivative function reaches the bottom of the bowl :D

27. farmergirl411

ok go it

28. zepdrix

|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

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30. zepdrix

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

31. farmergirl411

ok got it thanks