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iplayffxiv Group Title

a Suppose that f has a positive derivative for all values of x and that f(2) = 0. Which of the following statements must be true of the function

  • one year ago
  • one year ago

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  1. iplayffxiv Group Title
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    \[g(x)= \int\limits_{0}^{x}f(t) dt\]

    • one year ago
  2. iplayffxiv Group Title
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    A) The function g has a local maximum at x = 2. B) The function g has a local minimum at x = 2. C) The graph of g has an inflection point at x = 2. D) The graph of g crosses the x-axis at x = 2.

    • one year ago
  3. iplayffxiv Group Title
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    but what if it isn't because the question says "of the function"

    • one year ago
  4. iplayffxiv Group Title
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    if there is a positive for all x doesnt that mean it never crosses x axis?

    • one year ago
  5. fatima1 Group Title
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    positive derivative means that the curve is proceeding in downward direction

    • one year ago
  6. iplayffxiv Group Title
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    oh

    • one year ago
  7. iplayffxiv Group Title
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    still think its d?

    • one year ago
  8. t_soulb Group Title
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    no no wait ..

    • one year ago
  9. t_soulb Group Title
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    i think its b,c,d .. comments please :)

    • one year ago
  10. iplayffxiv Group Title
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    now im more confused

    • one year ago
  11. sama491 Group Title
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    f(2)=0 implies that for f at x=2, y=0 thus option D is right.

    • one year ago
  12. iplayffxiv Group Title
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    you think its d sama?

    • one year ago
  13. sama491 Group Title
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    Nothing can be said about the other options as there is no mention of the nature of the derivative of f except that it is +ve which implies f is always increasing in the domain. So yes it is D :)

    • one year ago
  14. iplayffxiv Group Title
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    ok thanks sama and soul

    • one year ago
  15. iplayffxiv Group Title
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    hope its correct

    • one year ago
  16. sama491 Group Title
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    Will be right ;) And you're welcome!

    • one year ago
  17. t_soulb Group Title
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    b..is correct sorry .. see as

    • one year ago
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  18. sama491 Group Title
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    Dude I'm so sorry! I read g as f :P B is right!

    • one year ago
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