# Derivative Library
This code is a library for calculating derived functions.
## Installation
To install the library, use pip:
pip install derivative_lib
## Usage
To use the library, import the `Derivative` class from the library:
from derivative_lib 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.
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"description": "# Derivative Library\r\n\r\nThis code is a library for calculating derived functions.\r\n\r\n## Installation\r\n\r\nTo install the library, use pip:\r\n\r\n pip install derivative_lib\r\n\r\n## Usage\r\n\r\nTo use the library, import the `Derivative` class from the library:\r\n\r\n from derivative_lib import Derivative\r\n\r\nThen you can create an instance of the `Derivative` class by passing the function you want to differentiate as an argument:\r\n\r\n python def func(x):\r\n return x**2\r\n derivative = Derivative(func)\r\n\r\n## Methods\r\n\r\n### tailor_app\r\n\r\nCalculates the derivative of the function at the point `x0` using the Taylor method.\r\n\r\nUsage example:\r\n\r\n result = derivative.tailor_app(2)\r\n\r\n### polinom_app\r\n\r\nCalculates the derivative of the function at the point `x0` using the polynomial method.\r\n\r\nUsage example:\r\n\r\n result = derivative.polinom_app(2)\r\n\r\n### second_derivative\r\n\r\nCalculates the second derivative of the function at the point `x0`.\r\n\r\nUsage example:\r\n\r\n result = derivative.second_derivative(2)\r\n\r\n### threepoint_pattern(x0, second_deriv=False)\r\n\r\nCalculates the first or second derivative of a function at the point `x0` using the three-point method.\r\n\r\nUsage example:\r\n\r\n result = derivative.threepoint_pattern(2, second_deriv=True)\r\n\r\n## Exception handling\r\n\r\nIf 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.\r\n\r\n## License\r\n\r\nThis library is available under the MIT license.\r\n",
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