derivatives of a parametric equation - Printable Version +- HP Forums (https://www.hpmuseum.org/forum) +-- Forum: HP Calculators (and very old HP Computers) (/forum-3.html) +--- Forum: HP Prime (/forum-5.html) +--- Thread: derivatives of a parametric equation (/thread-11105.html) derivatives of a parametric equation - DrD - 07-22-2018 11:17 AM Is there an hp prime command for finding derivatives of parametric equations, with respect to a parametric variable? For example, find the second derivative of a parametric equation where: x = t² - 4; y = t³ - 3*t; Result: d²y/dx² = (3*t²+3) / (4*t³); -Dale- RE: derivatives of a parametric equation - Aries - 07-22-2018 03:26 PM https://education.ti.com/html/t3_free_courses/calculus89_online/mod23/mod23_lesson2.html Best, Aries RE: derivatives of a parametric equation - parisse - 07-22-2018 04:58 PM Code: ``` y1:=diff(y,t); x1:=diff(x,t); normal(diff(y1/x1,t)/x1);``` Since x1=dx/dt and y1=dy/dt, dy/dx=y1/x1, then d2y/dx^2=d(dy/dx)/dx=d/dt(dy/dx)/x1 RE: derivatives of a parametric equation - Aries - 07-23-2018 09:15 AM image share free photos upload website Best, Aries RE: derivatives of a parametric equation - DrD - 07-23-2018 09:25 AM Thank you Parisse, (and Aries). I was looking for a single pre-existing command that would perform this operation, (in the toolbox catalog). I didn't find anything specifically, but there is always the chance I might have missed it! -Dale-