1. Derivatives of Algebraic Functions
Chapter 27

2. 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.

3. 27.1 Limits
Limit notation
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4. 27.1 Limits
Limit notation
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

5. 27.1 Limits Visualizing a limit
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

6. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

7. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

8. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

9. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

10. 27.1 Limits Limits involving zero or infinity
Practice - Determine the following limits:
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

11. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

12. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

13. 27.1 Limits Limits involving zero or infinity
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

14. 27.1 Limits Rules 3(a) and 3(b)
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15. 27.1 Limits
More on limits
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

16. 27.1 Limits Limits of the form 0/0 =6
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

17. 27.1 Limits In-class assignment
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.

18. 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.

19. 27.1 Limits In-class assignment
Paul A. Calter and Michael A. Calter, Technical Mathematics with Calculus.