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
however this returns \none and I cannot use it later.
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.
def
plot_example(r=range_slider(0,10,step_size=1),xtangent=(2,(0..10)),xsecant=(7,(0..10))):
show(plot(tangent(xtangent)))
Thank you very much for your help, and my apologizes in advance if the
question is too trivial.
Jose.
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