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 user input for x and outputs the derivative using the Average Rate of Change Formula : \n `` ` python \n def average _ rate _ of _ change ( x ): \n a = float ( input (" Enter the value of a : " )) \n b = float ( input (" Enter the value of b : " )) \n f = float ( input (" Enter the function f ( x ): " )) \n derivative = ( f ( b ) - f ( a )) / ( b - a ) \n return derivative \n \n x = float ( input (" Enter the value of x : " )) \n result = average _ rate _ of _ change ( x ) \n print (" The derivative of f ( x ) with respect to x at x = ", x , " is ", result ) \n `` ` \n In this script , the ` a verage _ rate _ of _ change ` function takes in the values of ` a `, ` b `, and ` f ( x ) ` as inputs from the user . It then calcul ates the derivative using the formula ` ( f ( b ) - f ( a )) / ( b - a ) ` and returns the result . \n \n The script then prom pts the user to enter the value of ` x ` and calls the ` a verage _ rate _ of _ change ` function with this value . Finally , it prints out the derivative of ` f ( x ) ` with respect to ` x ` at ` x = x `. </s>