Derivative Library

This code is a library for calculating derived functions.

Installation

To install the library, use pip:

pip install derivative_mode

Usage

To use the library, import the Derivative class from the library:

from derivative_mode import Derivative

Then you can create an instance of the Derivative class by passing the function you want to differentiate as an argument:

python def func(x):
return x**2
derivative = Derivative(func)

Methods

tailor_app

Calculates the derivative of the function at the point x0 using the Taylor method.

Usage example:

result = derivative.tailor_app(2)

polinom_app

Calculates the derivative of the function at the point x0 using the polynomial method.

Usage example:

result = derivative.polinom_app(2)

second_derivative

Calculates the second derivative of the function at the point x0.

Usage example:

result = derivative.second_derivative(2)

threepoint_pattern(x0, second_deriv=False)

Calculates the first or second derivative of a function at the point x0 using the three-point method.

Usage example:

result = derivative.threepoint_pattern(2, second_deriv=True)

Exception handling

If the function was set using a grid, the methods tailor_app, polinom_app and threepoint_pattern will throw an exception. If an error occurred while using the function, the methods will also throw an exception.

License

This library is available under the MIT license.