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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)
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Using my current knowledge, wouldn't the relative maximum value be 7/5?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Long story short  yup.

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Set \(g'(x)=0\) 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.

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=g%28x%29+%3D+7+%2F+%28x%5E2+%2B+5%29

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Here 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+

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok so the minimum value would be somewhere around .55?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0While the maximum is 1.4?

ybarrap
 one year ago
Best ResponseYou've already chosen the best response.1Yes http://www.wolframalpha.com/input/?i=d+%2Fdx+%28+7+%2F+%28x%5E2+%2B+5%29+%29
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