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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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### 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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