Inverse Functions
Definition of inverse and invertible functions, including the necessary conditions for a function to be invertible.
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
Course Material Related to This Topic:
The Graph of an Inverse Function
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).
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
Course Material Related to This Topic:
Derivatives of Inverse Functions
Formula for the derivative of an inverse function.
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
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Implicit Differentiation: Cosine Function
Finding the derivative for inverse cosine using the derivative for cosine and the method of implicit differentiation.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
Course Material Related to This Topic:
- Complete exam problem 3 on page 1
- Check solution to
exam problem 3 on page 1