The document discusses the derivative of the inverse of a function. It states that if f(x) is an invertible function, then for any point (a,b) on the function, the derivative of the inverse of the function evaluated at b is equal to the reciprocal of the derivative of the original function evaluated at a. This relationship allows the derivative of an inverse function to be determined from the original function.

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