Lesson #57 Derivatives of the 6 Inverse Trig Functions

Quote of the Day: 
"Calculus is the most powerful weapon of thought 
   yet devised by the wit of man."    -- W. B. Smith

Objectives:
The student will derive the six derivative formulas for the 
   inverse trigonometric functions.
The student will apply the derivative formulas for the six
   inverse trigonometric functions to problems.

1. Collect homework.  

2. How would you find the derivative of y = Arcsin(x) ?
   Write it in terms of something you know 
   (Hint: write it in terms of sin(x))

       
 
3. In a similar fashion, develop the formulas for the 
derivatives of the other 5 inverse trig functions:

       
4. Examples:
       
  
5. Assignment: 
      p. 254 (33, 35, 37, 39, 40, 41, 42, 51, 60, 67)   
       

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