Implicit Differentiation Calculator
Find dy/dx from equations in the form F(x,y) = 0 using implicit differentiation.
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Quick examples:
💡 How Implicit Differentiation Works
Step 1: Differentiate both sides with respect to x
Step 2: Apply chain rule: when differentiating y terms, multiply by dy/dx
Step 3: Collect all dy/dx terms on one side
Step 4: Solve for dy/dx
📚 Example: Circle
Given: x² + y² = 25
Rewrite: x² + y² - 25 = 0
Differentiate: 2x + 2y(dy/dx) = 0
Solve: dy/dx = -x/y
🎯 When to Use
- Circles, ellipses, and other conic sections
- Equations where y cannot be easily isolated
- Related rates problems with multiple variables
- Inverse functions and parametric equations
Implicit