About the Implicit Differentiation Calculator
A free tool for finding dy/dx from an equation in x and y.
What it is
This calculator differentiates polynomial equations relating x and y โ like circles, ellipses, or more complex implicit curves โ that can't be solved for y directly. It computes โF/โx and โF/โy term by term and applies dy/dx = โ(โF/โx) / (โF/โy), with an optional point for a numeric tangent slope.
Features
Mixed x/y terms
Handles terms like xยฒyยณ using the product rule automatically.
Numeric slope
Enter a point to see dy/dx evaluated there.
Step-by-step
See F(x,y), both partial derivatives, and the final formula.
Instant, private
Runs entirely in your browser. No data is sent anywhere.