Jose Guzman ha scritto:
> Hi everybody,
>
> I am pretty new to symbolic math and Sage but I love it!!!!.
>
> I am trying create a function which returns an tangent line at a given
> point (xpoint) in a function f(x) already known as follows:
>
> var('x')
> f(x): x**2
>
> def tangent(xpoint):
>
> def secant(xpoint):
> # function of the form f(x) = a + bx
> df = f.differentiate(x)
> m = df(xpoint) # slope is the derivative of the function in that point
> a = f(xpoint) - m*(xpoint) # coordinate
>
> return g(x) = a + m*x
>
>
sage: def secant(xpoint):
....: df = f.differentiate(x)
....: m = df(xpoint)
....: a = f(xpoint) - m*(xpoint)
....: g(x) = a + m*x
....: return g
The trick is to define the function, and the, make the return of the
"abstract" function.
sage: secant(2)
x |--> 4*x - 4
sage: secant(2)(2)
4
sage: secant(2)(3)
8
>
> I guess I am doing something essentially wrong from the pythonic point
> of view, but I cannot figure out how to create this function to call it
> later in a interactive cell with @interact.
>
I don't really understand neither ;)
> Thank you very much for your help, and my apologizes in advance if the
> question is too trivial.
>
Bah ! You allows me to post *my* trivial questions ;)
Have a good night
Laurent
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