Lesson #51 Derivatives of logarithms

Quote of the Day: 
"We only think when confronted with a problem." 
    -- John Dewey

Objectives:
The student will take derivatives of logarithms to any base. 
     
1. Collect homework.  

2. Develop the derivative formula for ln(x).

   (A) Recall the definitions of e:
       

(B) Prove:
       
       
       
       
3. Now use this fact to develop the derivative formula 
     for the log of x to any base a:
       
4. Examples
       
5. Comic Strips
        Click here for Bloom County -- logs and derivatives
        Click here for Fox Trot -- derivative of ln(u)
6. Assignment: 
   p. 260 ( 1 - 4, 8, 11, 13, 15, 31)      
       

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