Implicit Differentiation & Derivatives of Inverse Functions

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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.

Instructor: Prof. Jason Starr
Prior Knowledge: 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).

Instructor: Prof. Jason Starr
Prior Knowledge: Inverse Functions (section 1 of this lecture)
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Section 4, Page 2 to page 3

Formula for the derivative of an inverse function.

Instructor: Prof. Jason Starr
Prior Knowledge: 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.

Instructor: Prof. David Jerison
Prior Knowledge: None
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