Product Rule Calculator - Master Product Differentiation
Calculate derivatives of product functions (u(x) × v(x)) instantly with step-by-step solutions, interactive graphs, and advanced features like higher-order derivatives and tangent lines. Ideal for students, engineers, and professionals.
Why Choose Product Rule Calculator?
Fast, accurate differentiation for calculus learners and professionals in physics, economics, and engineering.
How Product Rule Calculator Works
Enter two functions (e.g., x² and sin(x)), and get the derivative using the product rule: d/dx(uv) = u'v + uv'.
Unmatched Benefits
- Step-by-step differentiation
- Interactive 2D/3D graphs
- Real-time calculations
- Higher-order derivatives
- Export and share results
Step-by-Step Guide
- Enter u(x) (e.g., x²).
- Enter v(x) (e.g., sin(x)).
- Select derivative order and calculate.
- View steps, graphs, and export.
Real-World Use Cases
Example: Model growth rate changes in economics with x² × ln(x).
Advanced Features
LocalStorage history, PWA support, and AI-simulated outputs.
Frequently Asked Questions
What is the product rule in calculus?
It’s a rule to differentiate u(x)v(x) as u'v + uv'.
It’s a rule to differentiate u(x)v(x) as u'v + uv'.
