(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the curvature of y = x³

2. Relevant equations

[tex]k(x) = \frac{f"(x)}{[1+(f'(x))²]^{3/2}[/tex]

3. The attempt at a solution

[tex]k(x) = \frac{6x}{(1+9x^4)^{3/2}[/tex]

I got the answer numerically, but I am looking for an explaination of the graph itself. I chose a relatively easy function in hopes that it would be easy to explain. Any help would be great. Please see the image below:

http://img100.imageshack.us/img100/8722/curvaturegraph0dg.jpg [Broken]

The red curve represents the original function, and the blue curve represents the curvature. Could someone please explain how the blue curve represents the curvature? I just can't see how they are related.

** Sorry, I can't seem to get the LaTeX correct, but I will work on it and get the right equations on there. For the time being, I have them posted on the graph itself ** thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Explaination of Curvature

**Physics Forums | Science Articles, Homework Help, Discussion**