MAT 125 – Applied Calculus 3.3 – The Chain Rule Today’s Class  We will be learning the following concepts today:  The Chain Rule  The Chain Rule for.

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Presentation transcript:

MAT 125 – Applied Calculus 3.3 – The Chain Rule

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

3 Dr. Erickson

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

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

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

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

Example 3 Dr. Erickson 3.3 – The Chain Rule 8

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

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