This is actually a technical question about why I'm getting different results when trying to do the same thing using Maxima and WolframAlpha.
When I enter
expand arctan(x)
in WolframAlpha I get
$x-\frac{x^3}{3}+\frac{x^5}{5}-\frac{x^7}{7}+\frac{x^9}{9}+O(x^{10})$
This is what I enter into maxima to get the 5th degree expansion for example
ff:taylor(arctan(x),x,0,5);
The result is littered with terms containing derivative symbols, unlike the nice-looking polynomial WolframAlpha returns.
My question is how to get Maxima to evaluate the expansion at the point 0 and return the first polynomial?