Echo input in output.
I'm trying to use sage for documentation purposes, and I'm looking for a way to do some of the following.
Enter an equation
f(x) = 2x
f(2) or something close
and get back
f(2) = 4 instead of just 4.
I'm also looking for a way to input
f(x) = 2x^2
Input diff(f(x),x), or an equivalent command and get
f'(x) = 4x or
d(f(x)/dx = 4x.
And an icing on the cake would being able to input
∫f(x)dx => 4x + 15 + c
Bassically, if there is a way to the output more verbose, I'd love to know how.
I just started using Sage and I love it, thank you!
Edit: Thank you so much for the response @paulmasson Your word "typesetting" was new to me and helped me find some other posts.
https://ask.sagemath.org/question/30975/present-sage-output-as-normal-mathematics/ (This) seems to be my exact question:
https://ask.sagemath.org/question/7826/latex-typesetting-for-derivatives-like-g (This) one seemed to answer my question, but I don't know if I'm supposed to do this.
It gave me the idea of using
f = function('f',x) == 2*x
I have no clue what
function() is, but I'm working on it.
I have no idea how or why this is different from
f(x) = 2*x, but it's pretty cool because now
diff(f,x) evaulates to
d(f(x)/dy = 2
However, it doesn't do
diff(f) so well when there are two variables like
f(x,y) = x^2 + y^2 .
I also really enjoyed this https://ask.sagemath.org/question/24039/showing-both-input-and-output/ (one):
Edit: Links, and I'm sorry to the moderator that has to keep approving my edits. Thank you for your time. I promise this will be my last edit.