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http://cs.armstrong.edu/greenlaw/climbing/vinson/Scan121.jpg


                                  Derivative of the Inverse...
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What is your
conjecture?




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If f (x) is an invertible function, then for any point (a, b) on f (x)

                               ­1                 ...
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* Note: Tangents intersect
       on y = x line




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CRMS Calculus 2010 January 20, 2010

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Derivative of the inverse of a function property

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Transcript of "CRMS Calculus 2010 January 20, 2010"

  1. 1. http://cs.armstrong.edu/greenlaw/climbing/vinson/Scan121.jpg Derivative of the Inverse of a Function I can see clearly now. 1
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  11. 11. What is your conjecture? 11
  12. 12. If f (x) is an invertible function, then for any point (a, b) on f (x) ­1 1 (f )'(b)    = f '(a) For any point (a, b) on an invertible function, the derivative of the inverse of the function evaluated at b is equal to the reciprocal of the derivative of the function evaluated at a. 12
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  14. 14. * Note: Tangents intersect on y = x line 14
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