derivatives of a parametric equation

[DrD]

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-

[Aries]

https://education.ti.com/html/t3_free_co...sson2.html
Best,

Aries

[parisse]

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

[Aries]

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Best,

Aries

[DrD]

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-