Problem $2$

$f(x)=\frac{1}{\sqrt[\phantom{2}]{50}}{e}^{\frac{-(x-10{)}^2}{50}}$xin$[-5,25]$

MATLAB or Python

Approximate the above functions using Lagrangian & Newton methods

You should generate data by yourself

Solve the following problems

$1.$ Lagrangian approximation $(N=3,10)$

Newton approximation $($N$=3,10)$

$2.$ Plot the approximated function in $1.$

$3.$ Compare your solutions