- #1

- 139

- 1

[f""(x)/(1+f"(x))] power 3/2. I need a good neat & understandable derivation for that. can any body show a web.

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- Thread starter chandran
- Start date

- #1

- 139

- 1

[f""(x)/(1+f"(x))] power 3/2. I need a good neat & understandable derivation for that. can any body show a web.

- #2

- 1

- 0

I don't like the format of the forum reply, so click on the following link to view your derivative: DGC.

- #3

- 665

- 0

[tex]\kappa=\frac{|\mathbf{r}'\times\mathbf{r}''|}{|\mathbf{r}'|^3}[/tex]

Now, let r = xi + f(x)j and simplify. To prove the first formula [itex]\kappa[/itex], use the following fact and compute r' x r''. The answer should be clear from there.

[tex]\kappa=\frac{d\mathbf{T}}{ds}[/tex]

[tex]\mathbf{r}'=\frac{ds}{dt}\mathbf{T}[/tex]

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