∂Implicit Differentiation Calculator
Enter an equation in x and y to find dy/dx, with an optional point for the numeric slope.
Use ^ for powers and juxtaposition or * for multiplication (e.g. 3x^2y or x^2*y^3). Constants like π aren't supported.
Free Implicit Differentiation Calculator
This implicit differentiation calculator handles polynomial equations in x and y — like x² + y² = 25 — where y isn't isolated as a function of x. It moves everything to one side to form F(x, y) = 0, finds the partial derivatives ∂F/∂x and ∂F/∂y term by term, and applies the implicit function rule: dy/dx = −(∂F/∂x) / (∂F/∂y).
Enter a point (x₀, y₀) on the curve to get the numeric slope at that location — handy for tangent line problems on circles, ellipses, and other implicit curves that can't be solved for y directly.
Free, runs entirely in your browser, no sign-up required.