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How do you find the curvature of a curve of $y=2x-x^2$ at the point where $x=1$ ?

If someone could provide me a little step by step, that would be great!

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One can always start with the definitions. How do you define the curvature of $y$ at a point? – Pedro Tamaroff Aug 17 '13 at 3:10
up vote 1 down vote accepted


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does that equation always hold true – user90705 Aug 17 '13 at 3:19
@user90705 Yes, as long as the function is continuous. – Ataraxia Aug 17 '13 at 3:39
and should it be the absolute value of the 2nd derivative of y – user90705 Aug 17 '13 at 3:45
@user90705: That depends upon whether you want the signed or unsigned curvature. – Anthony Carapetis Aug 17 '13 at 5:28

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