Chain, product and quotient rules

What you'll learn

1. 1

   Imagine you're baking a cake 🎂. The chain rule is like following a recipe step by step — first you mix the flour, then you add the eggs, and each step depends on the last.

2. 2

   What does the chain rule help us to do?

3. 3

   Let's differentiate y = (3x + 1)² using the chain rule.

4. 4

   The product rule is like sharing a pizza 🍕 between two friends — you take turns, multiplying and adding bits from each.

5. 5

   Drag the correct formula into the box for the product rule.

6. 6

   Differentiate y = x² × sin(x) using the product rule.

7. 7

   The quotient rule is for when one function is divided by another — like a fraction of a chocolate bar 🍫.

8. 8

   Which rule do we use for y = (x² + 1) / (x − 3)?