Derivative Calculator with Step-by-Step Solutions
Calculate derivatives and partial derivatives instantly with detailed explanations. Perfect for students, educators, and professionals.
Enter your function (supports polynomials, sin, cos, exp, ln, sqrt)
Maximum order: 5
Examples
Advanced Features Coming Soon
Higher-Order Derivatives
Calculate 3rd, 4th, and higher-order derivatives with detailed steps.
Mixed Partial Derivatives
Compute ∂²f/∂x∂y and other mixed partial derivatives.
Implicit Differentiation
Find dy/dx for implicitly defined functions F(x,y) = 0.
Interactive Graphing
Visualize functions and their derivatives with interactive plots.
Partial Derivative Calculator - Free Online Calculator with Steps
Our advanced partial derivative calculator helps you compute first and second partial derivatives for functions with multiple variables (x, y, z, w). This partial derivative calculator provides step-by-step solutions, supports implicit partial derivative calculations, and handles functions with 2, 3, or 4 variables. Whether you need a partial derivative calculator xyz or a partial derivative calculator 4 variables, our tool delivers accurate results instantly.
Our comprehensive derivative calculator supports ordinary derivatives, partial derivative calculations, implicit differentiation, and higher-order derivatives with step-by-step solutions. Whether you need a first partial derivative calculator, a second partial derivative calculator, or a partial derivative calculator 3 variables, our tool provides accurate results. It's a perfect alternative to Mathway partial derivative calculator, offering a free partial derivative calculator with steps.

Features
Everything you need in a partial derivative calculator
Our partial derivative calculator combines advanced mathematical algorithms with an intuitive interface, providing step-by-step solutions for first and second partial derivatives. This partial derivative calculator supports functions with 2, 3, or 4 variables, making it the perfect tool for students and professionals.
Features
Our partial derivative calculator combines advanced mathematical algorithms with an intuitive interface, providing step-by-step solutions for first and second partial derivatives. This partial derivative calculator supports functions with 2, 3, or 4 variables, making it the perfect tool for students and professionals.

Why students love our partial derivative calculator
Built for calculus students, engineers, and educators
From homework verification to exam preparation, our partial derivative calculator keeps calculations simple while providing the mathematical rigor professionals need.
Why students love our partial derivative calculator
From homework verification to exam preparation, our partial derivative calculator keeps calculations simple while providing the mathematical rigor professionals need.
- Free partial derivative calculator with unlimited calculations
- Partial derivative calculator optimized for real-world math problems
- Advanced features for power users including implicit partial derivative calculator
- Step-by-step solutions inspired by educator feedback

How it works
Calculate partial derivatives in a few simple steps
Our partial derivative calculator makes complex calculations simple: enter your function, select the variable, and get instant step-by-step solutions.
1. Enter your function
Type your mathematical expression with variables (x, y, z, w). Our partial derivative calculator supports polynomials, trigonometric, exponential, and logarithmic functions.
2. Select variable and order
Choose the variable for differentiation (x, y, z, or w) and select first or second partial derivative. Our partial derivative calculator handles both orders seamlessly.
3. Calculate partial derivative
Click calculate and our partial derivative calculator provides instant results with detailed step-by-step solutions for your partial derivative calculation.
4. Review step-by-step solution
Understand each step of the calculation. Our partial derivative calculator with steps breaks down complex derivatives into clear, manageable steps.
5. Copy or export results
Copy your results for homework or export for documentation. Our partial derivative calculator makes it easy to share solutions.
6. Try different functions
Experiment with various functions - our partial derivative calculator 3 variables, partial derivative calculator 4 variables, and implicit partial derivative calculator support diverse mathematical expressions.
Perfect for Every Math Student
Who Uses Our Partial Derivative Calculator
Whether you're studying calculus, engineering, physics, or economics, our partial derivative calculator helps you solve complex multivariable functions with step-by-step solutions. This partial derivative calculator supports functions with 2, 3, or 4 variables, making it ideal for students and professionals.
Calculus Students
Use our partial derivative calculator to verify your homework solutions and understand step-by-step calculations. This partial derivative calculator handles first and second partial derivatives for functions with multiple variables.
Engineering Students
Calculate partial derivatives for engineering applications involving multiple variables. Our partial derivative calculator xyz supports complex functions used in thermodynamics, fluid mechanics, and structural analysis.
Physics Students
Solve partial derivative problems in quantum mechanics, thermodynamics, and electromagnetism. Our partial derivative calculator 3 variables and partial derivative calculator 4 variables handle complex physical equations.
Economics Students
Calculate partial derivatives for optimization problems in microeconomics and macroeconomics. Our partial derivative calculator with steps helps you understand marginal analysis and production functions.
Graduate Students
Use our implicit partial derivative calculator for advanced research problems. This partial derivative calculator provides accurate solutions for implicit functions and higher-order derivatives.
Educators & Professors
Demonstrate partial derivative calculations in class with our step-by-step partial derivative calculator. Perfect alternative to Mathway partial derivative calculator for teaching multivariable calculus.
FAQ
Frequently Asked Questions
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Testimonials
What students and educators are saying
Sarah Chen
Calculus StudentThis partial derivative calculator saved me hours on my multivariable calculus homework. The step-by-step solutions help me understand the process, not just get the answer.
Michael Rodriguez
Engineering StudentI use this partial derivative calculator xyz for my thermodynamics class. It handles complex functions with multiple variables perfectly, and the partial derivative calculator 4 variables option is great for advanced problems.
Dr. Emily Watson
Mathematics ProfessorAs an educator, I recommend this partial derivative calculator to my students. The partial derivative calculator with steps makes it an excellent learning tool, better than the Mathway partial derivative calculator for teaching purposes.
James Park
Physics Graduate StudentThe implicit partial derivative calculator handles complex equations I encounter in quantum mechanics. This partial derivative calculator provides accurate results for functions that aren't explicitly defined.
Lisa Thompson
Economics StudentCalculating first partial derivative and second partial derivative for optimization problems is so much easier with this partial derivative calculator. The step-by-step breakdown helps me understand marginal analysis.
David Kim
Computer Science StudentThis partial derivative calculator is perfect for my machine learning course. Calculating gradients for multivariable functions is now straightforward with this partial derivative calculator 3 variables support.
Amanda Foster
Mathematics TutorI recommend this partial derivative calculator to all my students. The partial derivative calculator with steps helps them understand the concepts, not just memorize formulas.
Robert Martinez
Mechanical Engineering StudentThe partial derivative calculator handles all my engineering calculations. Whether I need a partial derivative calculator xyz or calculate second partial derivative, this tool delivers accurate results every time.
Jennifer Lee
Statistics StudentThis partial derivative calculator makes optimization problems in statistics much more manageable. The first partial derivative calculator feature is exactly what I need for my research.
Thomas Anderson
Applied Mathematics StudentThe best partial derivative calculator is one that shows your work. This partial derivative calculator with steps does exactly that, making it perfect for learning and verification.
Maria Garcia
Chemical Engineering StudentI use this partial derivative calculator daily for my transport phenomena class. The partial derivative calculator 4 variables option handles all my complex equations with ease.
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