2. MAT 125 – Applied Calculus 3.3 – The Chain Rule

3. Today’s Class  We will be learning the following concepts today:  The Chain Rule  The Chain Rule for Powers of Functions Dr. Erickson 3.3 – The Chain Rule 2

4. 3 Dr. Erickson

5. 3.3 – The Chain Rule 4 The Chain Rule Dr. Erickson

6. 3.3 – The Chain Rule 5 The General Power Rule Dr. Erickson

7.  Find the derivative. 3.3 – The Chain Rule 6 Example 1 Dr. Erickson

8. Find an equation of the tangent and normal lines to the curve at the given point. 3.3 – The Chain Rule 7 Example 2 Dr. Erickson

9. Example 3 Dr. Erickson 3.3 – The Chain Rule 8

10. More practice to find the derivative of the functions: 3.3 – The Chain Rule 9 Example 4 Dr. Erickson

11. Next Class  We will discuss the following concepts:  Cost Functions  Average Cost Functions  Revenue Functions  Relative Rate of Change  Elasticity of Demand  Please read through Section 3.4 – Marginal Functions in Economics in your text book before next class. Dr. Erickson 3.3 – The Chain Rule 10