Category: Week 8 group post (Page 2 of 3)

We first started by finding up to the 9th derivative of our function.

Then finishing finding everything else for our work:

We then used desmos to graph it:

And there’s a link to see it in more detail here:

https://www.desmos.com/calculator/exma6hbcob

Credit: Nickolai, Louis, Daniel, Vincent

f(x) = cos(x) centered at pi/6: https://www.desmos.com/calculator/xnhnf5t6id

Taylor polynomials of higher degree stick closer to the original function at first, but then move away faster.

Somehow, it looks like psub6 is closer to the graph than psub8? We don’t know why.

Also, we noticed the derivatives of cos(x) are cyclic and repeat every 4 times, so every 4th taylor polynomial beginning with psub1 has the same end behavior (you can see that in the color scheme).

Russell, Kevin, Erick, Joel