Can I extend this to more variables?
This panel is tuned for two variables. For higher dimensions, repeat the approach by holding other variables constant.
Step-by-step walkthrough
Partial Derivatives Calculator Guide
Use this companion guide beside the interactive calculator to make sure you understand the “why” behind every click. Each section includes the classroom explanation, student-friendly language, and quick practice prompts.
Before you start
Collect the data points listed below and double-check their units. Keeping an organized “givens” list is one of the fastest ways to reduce math errors and impress exam graders.
- partial derivative
- gradient
- multivariable
Detailed procedure
Step 1
Enter a function f(x, y) using x and y variables.
Step 2
Specify the evaluation point (x₀, y₀) and the finite-difference step size.
Step 3
Read off partial derivatives and the gradient magnitude.
Teaching & troubleshooting tips
What step size should I use?
The default (1e-4) balances precision and stability. Reduce it for well-behaved functions or increase it if round-off dominates.