Derivatives of Algebraic Functions

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Presentation transcript:

Derivatives of Algebraic Functions Chapter 27

27.1 Limits 1. Limit concept 2. Use the limit concept to find a derivative 3. Use rules to find a derivative Example When x approaches 2 (does not equal 2) Then y approaches 6 (does not equal 6) Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limit notation Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limit notation Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Visualizing a limit Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Practice - Determine the following limits: Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits involving zero or infinity Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Rules 3(a) and 3(b) Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits More on limits Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits Limits of the form 0/0 =6 Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits In-class assignment Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

S1 Tutorial Complete tutorial as an in-class assignment Demonstrate how to use the equation for interpolating Demonstrate how to use the equation for extrapolating Introduce students to the S1 homework problem Lecture on finite element method example Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

27.1 Limits In-class assignment Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.