Chapter 13.4, Problem 28E

To determine

To prove that the curvature of the graph of $y=f(x)$ using the parameterization $x=t,y=f(t)$ is given by $k(x)=\frac{|f\text{'}\text{'}(x)|}{{\left(1+f^{\prime }{(x)}^2\right)}^{\frac{3}{2}}}$.