DeoxNA
  • DeoxNA
The following is a derivative, what would be an equation modeling it and the original function (integral)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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DeoxNA
  • DeoxNA
|dw:1332739012098:dw|
anonymous
  • anonymous
1/(x^2+1)
anonymous
  • anonymous
is the max on the y-axis or in first quadrant as shown by your graph?

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DeoxNA
  • DeoxNA
In the first quadrant
anonymous
  • anonymous
ok so just do a horizontal translation 1 unit to the right... 1/[(x-1)^2+1]
DeoxNA
  • DeoxNA
Ok, but how would you integrate that?
anonymous
  • anonymous
that's the arctan formula... \[\int\limits_{?}^{?}\frac{dx}{a^2+x^2}=\frac{1}{a}\arctan(\frac{x}{a})+C\]
DeoxNA
  • DeoxNA
Wierd, I had never heard of that.
anonymous
  • anonymous
really?, you've never taken the derivative of arctan x? derivative of arctan x is 1/(x^2 + 1)
DeoxNA
  • DeoxNA
Nope, but thanks anyway!

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