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anonymous

  • one year ago

What is the relative maximum value of g(x) for the function shown below? g(x) = 7 / (x^2 + 5)

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  1. anonymous
    • one year ago
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    Using my current knowledge, wouldn't the relative maximum value be 7/5?

  2. anonymous
    • one year ago
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    Yup.

  3. anonymous
    • one year ago
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    Long story short - yup.

  4. anonymous
    • one year ago
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    Hahaha thanks!!!

  5. ybarrap
    • one year ago
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    Set \(g'(x)=0\) and solve for x and f \(g''(x)< 0 \) at this critical value, then g(x) is a maximum at that point. Here's a plot.

  6. ybarrap
    • one year ago
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    http://www.wolframalpha.com/input/?i=g%28x%29+%3D+7+%2F+%28x%5E2+%2B+5%29

  7. anonymous
    • one year ago
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    Oh I see now!

  8. ybarrap
    • one year ago
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    Here is \(g''(x)\) at that critical point - http://www.wolframalpha.com/input/?i=d%5E2%2Fdx%5E2+%28+7+%2F+%28x%5E2+%2B+5%29%29+

  9. anonymous
    • one year ago
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    Oh ok so the minimum value would be somewhere around .55?

  10. anonymous
    • one year ago
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    While the maximum is 1.4?

  11. ybarrap
    • one year ago
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    Yes http://www.wolframalpha.com/input/?i=d+%2Fdx+%28+7+%2F+%28x%5E2+%2B+5%29+%29

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