18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

1. Differentiation

Part B: Implicit Differentiation and Inverse Functions

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This section extends the methods of Part A to exponential and implicitly defined functions. By the end of Part B, we are able to differentiate most elementary functions.

» Session 13: Implicit Differentiation
» Session 14: Examples of Implicit Differentiation
» Session 15: Implicit Differentiation and Inverse Functions
» Session 16: The Derivative of a{{< sup “x” >}}
» Session 17: The Exponential Function, its Derivative, and its Inverse
» Session 18: Derivatives of other Exponential Functions
» Session 19: An Interesting Limit Involving e
» Session 20: Hyperbolic Trig Functions
» Problem Set 2

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Fall 2010
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