I need help with this matlab problem.

The deflection of a structural beam of constant cross section subjected to a transverse loading is related to the internal bending moment $($in$-$lb$)$ as:

$M=EI\frac{d^{2}v}{d{x}^2}$

load.

measurements, $v,$ in the second column. Use three different approaches to compute the second derivative of the data that you will need to compute a corresponding vector of values for $M(x)$ :

the last two points.$|$

Use MATLAB's gradient function $($second order centered difference formula$)$ twice on the data. First to compute the first derivative and then again to compute the second derivative.

Use MATLAB's gradient function twice on interpolated data that you generate with a clamped spline with $0\mathrm{.}5$ inch increments in $x.$ Set the derivative of the spline equal to $0$ at both ends.

Your function should have the following three column vector outputs $($in order$)$:

The bending moment values $M(x)$ calculated using $4$ th order centered finite difference formulas.

The bending moment values $M(x)$ calculated using the gradient function on the data.

The bending moment values $M(x)$ calculated using the gradient function on the clamped spline interpolation of the data.

Note: The first three test cases check each of the three approaches respectively. Code to call your function $($