type: example
title: Sage 101
subtitle:
    Some simple explanations about Sage
seealso:
    plotting

The first paragraph starts of with some simple #example text
about the {{ sage }}.

## Simple Example

The second paragraph is a bit more **complex** and _powerful_,
explaining #[plot plotting] and more.

sage::

    x = var('x')
    diff(x^2/(1-x^3), x)
    for i in range(10):
        print ((1+x^2)^i).expand()
    
should display

    3*x^4/(x^3 - 1)^2 - 2*x/(x^3 - 1)

## quick plot

sage::

    f(x) = x + 1/(1+x-x^2) - 1/(x+1)^2
    show(latex(f))
    plot(f, (x, -5, 5), ymin=-8, ymax=8)

## Another Example

This is another paragraph, below a code without doctest

sage::

    (2+3+4)^5