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Derivative computation and symbolic differentiation
Provides symbolic differentiation capabilities including basic derivatives, chain rule, product rule, quotient rule, and higher-order derivatives. Utilizes the existing Expression::Calculus infrastructure.
Re-exports§
pub use educational::DerivativeWithSteps;
Modules§
- educational
- Educational step-by-step explanations for derivative operations
Structs§
- Advanced
Differentiation - Advanced differentiation methods with performance optimization
- Basic
Derivatives - Basic derivative operations
- Chain
Rule - Chain rule implementation for function derivatives
- Conservative
Fields - Conservative field analysis
- Differentiability
Checker - Differentiability checker
- Directional
Derivatives - Directional derivative operations
- Fluid
Dynamics Operations - Fluid dynamics operations
- Function
Derivatives - Function derivative lookup
- General
Product Rule - General product rule for multiple factors
- Gradient
Operations - Gradient vector operations
- Hessian
Operations - Hessian matrix operations
- Higher
Order Derivatives - Higher-order derivative operations
- Implicit
Curve Analysis - Implicit curve analysis
- Implicit
Differentiation - Implicit differentiation operations
- Jacobian
Determinant - Jacobian determinant operations
- Jacobian
Operations - Jacobian matrix operations
- Matrix
Utils - Matrix operations for partial derivatives
- Parametric
Curve Analysis - Parametric curve analysis
- Parametric
Differentiation - Parametric differentiation operations
- Partial
Derivatives - Main partial derivatives interface
- Partial
Utils - Utility functions for partial derivatives
- Power
Rule - Power rule implementation
- Product
Rule - Product rule implementation for two factors
- Vector
Field Operations - Vector field operations for divergence, curl, and Laplacian
- Vector
Valued Differentiation - Vector-valued function differentiation (legacy compatibility wrapper)
Traits§
- Derivative
- Trait for derivative operations