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 February 27th, 2015, 01:31 PM #1 Newbie   Joined: Feb 2015 From: Lithuania Posts: 3 Thanks: 0 How to calculate a curvature of the cubic function. Hi, I need some help. I have a cubic function: f(x)=ax^3+bx^2+cx+d and I need to say (to prove) which formula is better to use to calculate a curvature: k=1/R or k=f''(x)/(1+(f'(x)^2)^3/2. The answer have to be proved. Maybe there is no difference and they both give me the same result, but I have to prove it. (Here is the link, where are the both formulas: Curvature - Wikipedia, the free encyclopedia)
 February 27th, 2015, 11:38 PM #2 Global Moderator   Joined: Dec 2006 Posts: 18,707 Thanks: 1530 There isn't an easy way to calculate R, so use the second formula. The numerator should be |f''(x)|.
 March 2nd, 2015, 10:31 AM #3 Newbie   Joined: Feb 2015 From: Lithuania Posts: 3 Thanks: 0 But I have to explain, why the second formula it's better than first one. Maybe it's more accurate or something else. I got the task, that, based on the theory I have to explain and prove which formula it's better to use.

 Tags calculate, cubic, curvature, function, prove

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