Let's say we want to define this mathematical function and perform some calculations with it:
Evaluate the following code to define the function:
var('a, x')
f(x) = a * x^3
print(type(f))
print(f)
show(f)
print(f(2, a=5))
print type(f(2, a=5))The result should look like this:
Now, let's define another function, which is the derivative of f(x):
Evaluate the following code to define g(x):
g(x) = derivative(f, x) show(g) g(x=2, a=3)
The result should look like this:
We started out using the var function to define some symbolic variables. Technically, we didn't need to explicitly define x as a symbolic variable, because Sage assumes that x is symbolic by default. We then used the notation f(x) = a * x^3 to define a callable symbolic expression called f, and we confirmed that f was symbolic by using the type function. We used the print function to display f, and then introduced a new function called show to display a typeset...