$(15pts$ In an experiment, the measured signal is supposed to be $x(t)=sin(3t).$ However, the information obtained by the sensing device included a high$-$frequency noise, thus providing the following measured signal

$y(t)=x(t)+$ noise

The attached file Data.m contains the measured data along with the corresponding time values from $t_0=0$ to $t_f=10$ seconds. The measurements were recorded every $t={10}^{-6}$ seconds; i$.$e$.,$ the sampling period is ${10}^{-6}$ seconds or equivalently the sampling frequency is $1MHz.$ The first column of the data file contains the time values and the second column contains the corresponding values of the $y\text{'}$s$.$ To load this data file into your Matlab session, save it in your folder and then type the following command in Matlab in order to load this file

$1$Save the first column of the Data file as time and the second column as y$.$Using the raw data, you will try to find the derivative of the measured signal y$($t$)$ using numerical differentiation via the Matlab function diff. To obtain the derivative of y$($t$)$ you will need to divide diff$($y$)$ by the sampling period Delta t$.$ In other words, use