A Next.js application that visualizes mathematical expressions using calculus principles.

Key Features

• Expression Processing: Analyzes expressions via Gemini API, extracting derivatives, integrals, and critical points.
• Interactive Visualization: Renders functions with gradients, highlights critical points, and adapts to screen size.
• Mathematical Analysis: Displays expressions, domain/range, and critical points in a tabbed layout.
• Theme Support: Dark/light modes with optimized colors and a toggle.
• User Interface: Modern, responsive design with example functions.

How to Use

1. Input a function (e.g., sin(x) + x^2).
2. Click "Generate" to see visualization and analysis.
3. Explore tabs for details.

Installation

1. Clone the repo:

   git clone https://github.com/bniladridas/calculus_image_generator.git

2. Enter directory:

   cd calculus-image-generator

3. Install dependencies:

   npm install

Running the Software

• Local Development:

  npm run dev

• Global Startup:
  1. Make script executable:

     chmod +x startup.sh

  2. Create symbolic link:

     sudo ln -s /path/to/project/startup.sh /usr/local/bin/calculus-image-generator

  3. Run globally:

     calculus-image-generator

Access

Visit http://localhost:3000 once running.

Troubleshooting

If calculus-image-generator fails, verify the symbolic link and command.

License

MIT License - see LICENSE for details.