IN MATLAB PLEASE

Create a function which takes as input a set of data points, and outputs the first and second numerical derivatives according to the following:

For the left endpoint, use the forward difference method.

For interior points, use the centered difference method.

For the right endpoint, use the backward difference method.

Use the lowest$-$order method in each case. $($These are the formulas we derived in class via Taylor series.$)$ You can assume that the input data has distinct and monotonically increasing $x$ values. Call

your function two$\_$derivs $(x,y)$ which takes as inputs two vectors, the first is the $x-$coordinates of the data points and the second is the $y-$coordinates. You can assume the user$-$inputted data has $x$

and y vectors of the same length. Your function should give two outputs, yp which is $y^{\text{'}}$ and ypp which is $y^{\text{'}\text{'}}.$ Finally, plot all three on the same figure: make $y(x)$ red, $y^{\text{'}}(x)$ green, and $y^{\text{'}\text{'}}(x)$ blue.

A template is given below.

Resets the solution code to the

starter code provided by the

instructor. Changes you have

made are discarded.

Function $$

Code to call your function $(?)$

$1$ two$\_$derivs $(x,y)$