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Implicit Differentiation Calculator

Enter the partial derivatives Fx and Fy evaluated at the same point. The slope is dy/dx = −Fx/Fy when Fy is nonzero.

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You must evaluate the partial derivatives at your chosen point. This calculator does not parse or differentiate an equation.

Inputs stay in this browser; nothing is uploaded or saved.

A QUICK WALKTHROUGH

How to use this tool

  1. Evaluate Fx and Fy at the same point.
  2. Enter both values.
  3. Calculate dy/dx = −Fx/Fy.

Scope

For F(x,y)=0 with Fy ≠ 0, implicit differentiation gives dy/dx = −Fx/Fy at the point. This tool does not find the derivatives from an equation.

GOOD TO KNOW

Common questions

Does it differentiate my equation?

No. Enter partial derivatives already evaluated at the same point.

What if Fy is zero?

The formula is undefined, so the calculator rejects that input.