Chapter 3: Differentiation Rules.

3.2 The Product and Quotient Rules.

The Product and the Quotient Rules.

0:00 The Product and the Quotient Rules.

4:04 Two simple Examples. f(x) = (x)(x^3+1) and f(x) = (x^3 + 2x) / x.

8:36 Example on the Product Rule. f(x)= 2x^6 (3x^2 +1).

10:43 Example on the Quotient Rule. f(x) = (1+x)/(3+2x).

12:11 Example: f(x) = 7x – 2x e^x

13:18 Find the equation of the tangent line of f(x)=(x+4)/(x-1) at x = 3.

16:02 Population Growth: Two Examples with Graphs.