Partial Derivatives Calculator

Interactive CLI program to compute partial derivatives, implicit differentiation, higher-order derivatives, and verify Clairaut's Theorem/ Laplace's Equation.
Built with Java and Maven. Uses Symja (Matheclipse) for symbolic math operations.

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Features

• First partial derivatives
• First partial derivative with numeric evaluation
• Implicit differentiation
• Second and higher-order partial derivatives
• Verify Clairaut's Theorem (equality of mixed partials)
• Verify Laplace's Equation
• Menu-driven CLI

How It Works

1. Run the program using Maven.
2. You’ll see a menu with options.
3. Enter a choice (1–8).
4. The program will ask you for a function and perform the calculation.

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Tech stack

• Java (8+; Java 17 recommended)
• Maven
• Symja / Matheclipse (symbolic math library)

Add Symja dependency (pom.xml)

Add this dependency into your <dependencies> in pom.xml:

<dependency>
  <groupId>org.matheclipse</groupId>
  <artifactId>matheclipse-core</artifactId>
  <version>3.0.0</version>
</dependency>

Build & Run

mvn clean package
mvn compile exec:java -Dexec.mainClass="org.example.PartialDerivatives"