Implicit and parametric differentiation

What you'll learn

1. 1

   Imagine a curve that's not a function — like a circle. You can't write it as y = something simple.

2. 2

   What type of equation can't be written as y = f(x) easily?

3. 3

   Find dy/dx for x² + y² = 25 (a circle).

4. 4

   Try it: find dy/dx for x³ + y³ = 6xy (a folium).

5. 5

   What is the first step of implicit differentiation?

6. 6

   Parametric equations use a third variable, t, to describe x and y separately — like a path traced over time.

7. 7

   If x = t² and y = t³, what is dy/dx?