Absolutely! Here's the modified Python script that can handle a separate function definition:

def derivative(f, a, b):
h = 0.0001 # Step size for approximation
return (f(b) - f(a)) / (b - a)

Define a function f separately
def f(x):
return x ** 2

Prompt user for the value of x
x = float(input("Enter a value for x: "))

Calculate and output the derivative of f at x
print("The derivative of f(x) at x = {} is {}".format(x, derivative(f, x - 0.5, x + 0.5)))

In this script, the function f is defined separately using a regular function definition. The rest of the script remains the same as before.

To use this modified script, simply enter a value for x when prompted, and define your own function f using a regular function definition. The script will output the derivative of f at the specified value of x, using the Average Rate of Change formula.
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