Hi all,
I'm trying to do an interact to illustrate the curvature of a curve given
by y=f(x).
Here is the code, but at the end I cannot properly show the function k(x).
What's wrong? What should I do?
var('x')
f(x)=x^4-2*x^2
@interact
def _(f=input_box(x^4-2*x^2, width=15, label="$f(x)=$"),a=input_box(-2,
width=5, label="$a=$"),b=input_box(2, width=5, label="$b=$")):
Cf=plot(f,x,-2,2,color='blue', thickness=3)
k(x)=abs(diff(f,x,2))/(1+(diff(f,x,1))^2)^(3/2)
Ck=plot(k,x,-2,2,color='red', thickness=3)
show(Cf+Ck,figsize=6)
html('La fonction de courbure est', latex(k))
Thanks!
JC
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