pyculus 0.0.8

a collection of calculus-related functions

pyculus - A Python Library for Calculus Operations

📌 Overview

pyculus is a Python library that provides calculus-related functions including:

• Simplification of expressions
• Domain determination
• Derivative calculations
• Finding critical points
• Table of variations
• Increasing and decreasing intervals
• Graph plotting

This library is built using SymPy, NumPy, and Matplotlib, making it useful for both symbolic mathematics and visualization.

---

🚀 Installation

You can install pyculus using pip:

pip install pyculus

---

🔹 Usage

1️⃣ Import the Library

import pyculus as fn

2️⃣ Define a Function

f = x**4 - 2*x**2

3️⃣ Simplify the Function

simplified = fn.symplify(f)
print(simplified)

4️⃣ Find the Domain

d = fn.domain(f)
print("Domain:", d)

5️⃣ Compute the Derivative

derivative = fn.derivative(f)
print("Derivative:", derivative)

6️⃣ Find Critical Points

critical_pts = fn.critical_points(f)
print("Critical Points:", critical_pts)

7️⃣ Generate the Table of Variations

table = fn.table(f)
print("Table of Variations:", table)

8️⃣ Find Extreme Points

extreme_pts = fn.extreme(f)
print("Extreme Points:", extreme_pts)

9️⃣ Identify Increasing and Decreasing Intervals

increasing_intervals = fn.increasing(f)
decreasing_intervals = fn.decreasing(f)
print("Increasing Intervals:", increasing_intervals)
print("Decreasing Intervals:", decreasing_intervals)

🔟 Plot the Function

fn.graph(f)

---

## **📌 Features**
- **Symbolic Computation:** Uses SymPy for mathematical operations.
- **Automatic Domain Calculation:** Handles function continuity.
- **Calculus Tools:** Finds derivatives, critical points, and variation tables.
- **Graphing Support:** Uses Matplotlib for visualizing functions.
- **Numerical Handling:** Leverages NumPy for better numerical processing.
- **As of now, the library is not able to take into account discontinuities in the calculations of the increasing and decreasing intervals - but this will not cause an error in the graph.

---

## **🛠 Dependencies**
Function requires the following libraries:
- `sympy`
- `numpy`
- `matplotlib`

These will be installed automatically with `pip install function`.

---

## **📄 License**
This project is licensed under the **GNU General Public License v3.0 (GPL-3.0)**. See the [LICENSE](LICENSE) file for details.

---

## **📞 Contact**
For any questions, bug reports, or feature requests, send an email:
[e-mail]

Happy coding! 🚀