(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:

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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# Explaination of Curvature

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