Create a script program with the two situations describe bellow.

The user will enter the inlet data

The user will receive the results according to the format indicated in the situation.

Submit your assignment in PDF format via Safe Assign in Blackboard.

This activity will have one $(1)$ attempt.

Total value $16$ points

The due date is indicated on "Calendar", which is located in "Tools" menu in the Blackboard platform.

First program

Create a program that calculates the derivative for any polynomial entered by a user and the user receives all the derivatives until it reaches zero. The program will work for any polynomial with the variable $x.$

Ensure that your program provides the user the result in a complete sentence.

Second program

Create a program that graphs and calculates the area under the curve to:

$S=\frac{co{s}^2(x)}{1+si{n}^2(x)}$

Create the graph using the ezplot or fplot command

Calculate the area under the curve by finding the integral ${\displaystyle \underset{0}{\overset{}{}}}\frac{co{s}^2(x)}{1+si{n}^2(x)}dx$

Print on the chart a sentence that reads how much is the area under the curve for the established limits $,$ pi