## Section 2.2: The Product Rule

**Key Concepts:**

**Note:**When given a function in factored form e.g. in the form of binomial products, the Product Rule is used to

differentiate the function, instead of expanding the factors then differentiating the expanded form of the

function using the Sum and/or the Difference Rule.

Lessons for Section 2.2:

**The Product Rule**

1. Proof of the Product Rule (a messy proof with colourful visuals)

2. Another

3. Common Mistake When Taking a Derivative of a Product (Pay attention and don't make this common mistake!)

**Proof of the Product Rule**(a more organized proof)3. Common Mistake When Taking a Derivative of a Product (Pay attention and don't make this common mistake!)

4. The Derivatives of a Product

**IS NOT**the Product of the Derivatives (You get warned once again!)**1. Differentiating Using the Product Rule (**

Applications of the Product Rule:

Applications of the Product Rule:

**Example 1**)

2. Differentiating Using the Product Rule (

**Example 2**- a challenging twist)

3. Differentiation Examples with Rational Exponents (Part 1)

4. Differentiation Examples with Rational Exponents (Part 2)

Click

**HERE**for the option to view this YouTube video in full screen.5. Differentiating Products of Polynomial Functions Using the Product Rule

6. Finding Derivatives and Equations of a Tangent Line Using the Product Rule

**Derivatives of the Revenue, Cost and Profit Functions:**

**Assigned Practices:**

- eBook: Read p. 89 to 93 (particularly Example 3 on p. 91)

- eBook: Do exercises on p. 93 #3 to 8, #10 to 12

- eBook: In-Class exercises p. 95 #13 to 16