# Math Help - the curvature of the curves

1. ## the curvature of the curves

Hello, I need to compute the curvature of this arclength-parametrized curve:

$a(s)=( \sqrt{1+s^2}, ln(s+ \sqrt{1+s^2}))$

Could you give mi a hint?

2. ## Re: the curvature of the curves

$\vec{T}=\dfrac{\partial}{\partial s}a(s)$

$\hat{T}=\dfrac{\vec{T}}{\left\| \vec{T} \right \|}$

$\large \kappa =\left\| \dfrac{d \hat{T}}{ds}\right \|$