How Do You Calculate the Curvature of a Point on a Wave Function?

[member 141513]

May i know how to find the curvature of a point on a wave function?

e.g
wave function: y=Asin(wx)

and i want to find the curvature of a point at for example x=x0 and y= Asin (wx0)

thank you very much

 

[HallsofIvy]

If y= f(x), the curvature at $x= x_0$ is given by
$$\frac{|f''(x_0)|}{(1+ f'^2(x_0))^{3/2}}$$.

 

[member 141513]

If y= f(x), the curvature at $x= x_0$ is given by
$$\frac{|f''(x_0)|}{(1+ f'^2(x_0))^{3/2}}$$.

o thanks HallsofIvy~~