can you please create a python script that outputs a derivative using The Average Rate of Change Formula A(x) = f(b)-f(a) /(b-a) when x is user input

Sure , here ' s a Python script that takes a user input for x and calcul ates the derivative using the A verage R ate of Change formula : \n ``` python \n def average _ rate _ of _ change ( f , a , b ): \n return ( f ( b ) - f ( a )) / ( b - a ) \n \n def main (): \n # Take user input for x \n x = float ( input (" Enter the value of x : " )) \n \n # Define the function for which we want to find the derivative \n def func ( x ): \n return x ** 2 \n \n # Find the derivative using the A verage R ate of Change formula \n derivative = average _ rate _ of _ change ( func , 0 , x ) \n \n # Print the result \n print (" The derivative of ", func , " at ", x , " is ", derivative ) \n \n if __ name __ == " __ main __ ": \n main () \n ``` \n In this script , we first define the ` aver age _ rate _ of _ change ` function that takes in three arguments - ` f `, ` a `, and ` b `. It returns the derivative of ` f ` at ` x ` using the A verage R ate of Change formula . \n \n In the ` main ` function , we first take a user input for ` x `. We then define a function ` func ` that takes in ` x ` and returns ` x ** 2 `. We use the ` aver age _ rate _ of _ change ` function to find the derivative of ` func ` at ` x `, and print the result . \n \n You can run this script by saving it in a file with a `. py ` extension and running it in a Python interpreter . Make sure to replace the ` func ` function with the function for which you want to find the derivative . </s>