anonymous
  • anonymous
Which of the following functions grows the fastest as x goes to infinity?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
https://gyazo.com/a75478538401ecf38324fc5fbe30837f @jim_thompson5910 @freckles How would I know how fast they are growing?
jim_thompson5910
  • jim_thompson5910
look at the graph of their derivatives
anonymous
  • anonymous
Would I look at the growth of y as it progress down the x-axis?

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More answers

jim_thompson5910
  • jim_thompson5910
f(x) = ln(x) ----> f ' (x) = 1/x f(x) = log(2,x) ----> f ' (x) = 1/[x*ln(2)] f(x) = x^2 ----> f ' (x) = 2x f(x) = 2^x -----> f ' (x) = ln(2)*2^x
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=plot+{y+%3D+2+x^2%2B7+x%2C+y+%3D+e^x%2C+y+%3D+e^x%2F4%2C+y+%3D+%28log%28x%29%29%2F%28log%284%29%29}+%2C+{x+%2C+-5+%2C+10}
anonymous
  • anonymous
ignore the numbers and signs...
anonymous
  • anonymous
Kinda hard to ignore them......
jim_thompson5910
  • jim_thompson5910
after you get those derivatives, plug in a large number (like x = 1000) into each derivative function and compare the outputs
anonymous
  • anonymous
2^x is the fastest, correct?
anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
yep

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