http://www.mapleprimes.com/questions/143689-Derivatives-And-Maple en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Wed, 10 Jun 2026 21:33:38 GMT Wed, 10 Jun 2026 21:33:38 GMT The latest answers and comments added to the Question, Derivatives and Maple http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/143689-Derivatives-And-Maple http://www.mapleprimes.com/questions/143689-Derivatives-And-Maple?ref=Feed:MaplePrimes:Derivatives and Maple:Comments#answer143704 <p>I'm guessing that if you're in a math class using space curves, then you've covered the concept of curvature. Is that right? For a smoothly running roller coaster, you'll need continuity of the curves, their derivatives, and their radii of curvature (which are based on the second derivatives). Practically speaking, that means that you need to check that the curves, their derivatives, and their second derivatives match at the splice points.</p> <p>If you post some of your curves, I'll show you some Maple code to do this. Be sure to include the bounds for the parameters and to indicate where the splice points are.</p> <p>I'm guessing that if you're in a math class using space curves, then you've covered the concept of curvature. Is that right? For a smoothly running roller coaster, you'll need continuity of the curves, their derivatives, and their radii of curvature (which are based on the second derivatives). Practically speaking, that means that you need to check that the curves, their derivatives, and their second derivatives match at the splice points.</p> <p>If you post some of your curves, I'll show you some Maple code to do this. Be sure to include the bounds for the parameters and to indicate where the splice points are.</p> 143704 Wed, 20 Feb 2013 21:43:42 Z Carl Love Carl Love