Interpolation combined with Differentiation Practice:

Using the $x$ and $Y$ values below $($include them in your function$),$ write a MATLAB function SECOND$\_$DERIV in MATLAB. The output of the function should be the approximate

value for the second derivative of the data at $x,$ the only input variable of the function.

Use the forward difference method and interpolate $($with interp$1)$ to get your final answer.

Copy these two lines into your function

$x=[1,1\mathrm{.}2,1\mathrm{.}44,1\mathrm{.}73,2\mathrm{.}07,2\mathrm{.}49,2\mathrm{.}99,3\mathrm{.}58,4\mathrm{.}3,5\mathrm{.}16,6\mathrm{.}19,7\mathrm{.}43,8\mathrm{.}92,10\mathrm{.}7,12\mathrm{.}84,15\mathrm{.}41,18\mathrm{.}49]$;

$Y=[18\mathrm{.}89,19\mathrm{.}25,19\mathrm{.}83,20\mathrm{.}71,21\mathrm{.}96,23\mathrm{.}6,25\mathrm{.}56,27\mathrm{.}52,28\mathrm{.}67,27\mathrm{.}2,19\mathrm{.}38,-2\mathrm{.}05,-50\mathrm{.}9,-152\mathrm{.}82,-354\mathrm{.}73,-741\mathrm{.}48,-1465\mathrm{.}11]$;

When you finish this problem $-$ follow this link to get started on Practice Quiz $3$