$1$ Problems:

Problem $1$

Auto differentiating function $-$ single order

Step $1$ Write a m$-$file function named $y=$Diff$(v,n),$ where

$v$ is a symbolic single variable

$n$ is a positive integer representing the order of differentiation

$y$ is the $n$th derivative of the variable in the form of $Dnv.$

For example.

Step $2$ Check for the positive and integer condition of the input $n,$ and if is is not satisfied, then throw an error for it$.$ For this purpose, look for isinf$,$ floor, and error functions.

Step $3$ You should convert the symbolic variable $v$ and the number $n$ to strings, and then concent rate that with $\text{'}D\text{'}.$ The result string can be turned to a symbolic variable using the mat lab built$-$in function sym$.$

Hint: Check the matlab built$-$in functions sym$,$ char, and num$2$str help documents. Also, check how can you concentrate multiple strings in MATLAB.

Step $4$ write a test script, name it testDiff, m that check the output of the function as the above test script.