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Elementary Calculus

Elementary Calculus . Lecture 8. Today’s Agenda. Supplemental Instruction – SI Mike Filer mjfiler@eagle.fgcu.edu M 2:00 – 3:00 LIB #436 T 12:30 – 1:30 LIB #434 R 6:30 – 7:30 LIB #434 F 1:00 – 2:00 LIB #436 Section 4.3 – Differentiation of Logarithmic and Exponential Functions

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Elementary Calculus

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  1. Elementary Calculus Lecture 8

  2. Today’s Agenda • Supplemental Instruction – SI Mike Filer mjfiler@eagle.fgcu.edu M 2:00 – 3:00 LIB #436 T 12:30 – 1:30 LIB #434 R 6:30 – 7:30 LIB #434 F 1:00 – 2:00 LIB #436 • Section 4.3 – Differentiation of Logarithmic and Exponential Functions • Section 4.4 – DELETE!

  3. Section 4.3 - Logarithms The Derivative of lnx The Chain Rule for Logarithmic Functions

  4. Example #1 • Differentiate

  5. Example #2 • Differentiate

  6. QUESTION #1 • Differentiate

  7. Section 4.3 – Exponentials The Derivative of the Exponential Function The Chain Rule for Exponential Functions

  8. Example #3 • Differentiate

  9. Example #4 • Differentiate

  10. QUESTION #2 • Differentiate

  11. More Examples!

  12. Example #5 • Differentiate

  13. Example #6 • Find an equation for the tangent line to

  14. QUESTION #3 • Differentiate

  15. QUESTION #4 • Find an equation for the tangent line to

  16. Section 4.3 – Growth and Decay If , then and changes at the percentage rate 100k.

  17. Example #7 • Money is deposited in a bank offering interest at an annual rate of 6% compounded continuously. Find the percentage rate of change of the balance with respect to time. Percentage Rate of Change=

  18. EXIT SURVEY • What could be done to improve the lecture portion of this class?

  19. Reminders! • Keep up with your homework on MathZone. • Quiz #6 will be next week in lab. • The last day to drop without academic penalty is this Friday, October 27. • The Final Exam is Wednesday, December 13 at 10:30am in this room!

  20. Have a Great Week!

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