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Lecture Notes

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Section 1, Page 1 to page 2
Definition of inverse and invertible functions, including the necessary conditions for a function to be invertible.
Prof. Jason Starr
None
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Section 2, Page 2
The graph of the inverse of y = f(x) is the graph of x = f(y) (switch the roles of x and y or reflect across the line y = x).
Prof. Jason Starr
Inverse Functions (section 1 of this lecture)
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PDF
Section 4, Page 2 to page 3
Formula for the derivative of an inverse function.
Prof. Jason Starr
Inverse Functions (section 1 of this lecture)
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Exam Question

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Problem 3 (page 1)
Finding the derivative for inverse cosine using the derivative for cosine and the method of implicit differentiation.
Prof. David Jerison
None
Solution (PDF)# Page 1
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