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  1. anonymous
    • 5 years ago
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    hard to keep them straight. is this an on line course?

  2. anonymous
    • 5 years ago
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    yes

  3. anonymous
    • 5 years ago
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    your original function, if i recall, is increasing and then decreasing. changes direction at 0. so one thing you know is that your derivative must be positive to the left of 0 and negative after. let me review them and see if that eliminates any

  4. anonymous
    • 5 years ago
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    it eliminate the first one because that parabola is alway positive, aka above the x axis. cross it out

  5. anonymous
    • 5 years ago
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    ok

  6. anonymous
    • 5 years ago
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    second one is positive and then negative, but it is not correct because it is large far to the left of zero and then gets smaller. but your original function is increasing slowly then increasing rapidly, so your derivative should be a small positive number and then a larger one. cross out #2

  7. anonymous
    • 5 years ago
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    what do you mean by it gets smaller after zero?

  8. anonymous
    • 5 years ago
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    #3 looks good because where your original function is increasing slowly this one is close to zero but positive. then where your function is increasing more rapidly this one is bigger. then it drops quickly to zero

  9. anonymous
    • 5 years ago
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    for #2 i am only looking to the left of the y axis.

  10. anonymous
    • 5 years ago
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    your original function is increasing there so your derivative has to be positive.

  11. anonymous
    • 5 years ago
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    but your original function is increasing first slowly and then more rapidly

  12. anonymous
    • 5 years ago
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    the derivative gives the slope of the tangent lines. if you look at your original function you will see that the slope of the tangent lines is small, that is close to zero, as you start out. then they get steeper so your derivative should get bigger.

  13. anonymous
    • 5 years ago
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    #3 you will see that this does just that. it starts out close to zero but then gets larger. this reflects the fact that your original function is increasing slowly and then gets steeper

  14. anonymous
    • 5 years ago
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    on the right hand side of the y axis your function is at first decreasing very rapidly, then still deceasing but more slowly. # 3 reflects that as that as soon at is crosses the y axis it drops steeply.

  15. anonymous
    • 5 years ago
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    ohhkay thanks mate

  16. anonymous
    • 5 years ago
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    welcome.

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