- #1
prace
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Homework Statement
Find the curvature of y = x³
Homework Equations
[tex]k(x) = \frac{f"(x)}{[1+(f'(x))²]^{3/2}[/tex]
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 explanation 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
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
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