This document provides examples and instructions for differentiating products using the product rule. It introduces Gottfried Leibniz and his discovery of the product rule in 1675. Examples are given to differentiate products and find the coordinates of a stationary point on a curve using differentiation. The exercises are from a textbook and ask the reader to start on question 3.

1. Starter Differentiate the following:

2. Objective: to differentiate products

3. The Product Rule Write down the first and differentiate the second plus Write down the second and differentiate the first Gottfried Leibniz (1646 – 1716) Leibniz discovered the Product Rule in November 1675

4. Example 1 Differentiate

5. Example 2 Differentiate

6. Example 3 Find the coordinates of the stationary point on the curve where .

7. Core 3 & 4 Textbook Exercise 10A Page 168 Start on Question 3