Derivative: Limit of the Difference Quotient

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Lecture Notes

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Section 2, Page 1 to page 2

Definition as the limit of a difference quotient.

Instructor: Prof. Jason Starr
Prior Knowledge: None
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Practice Problem

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Problem 3 (page 2)

Finding the derivative of f(ax) using the difference quotient definition of derivative.

Instructor: Prof. Jason Starr
Prior Knowledge: None
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Exam Questions

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Problem 1 (page 2)

Finding the derivative of a function by taking the limit of a difference quotient.

Instructor: Prof. Jason Starr
Prior Knowledge: None
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Problem 1.3 (page 1) to problem 1.4 (page 1)

Two problems which involve evaluating a derivative using the limit definition of a derivative.

Instructor: Prof. Jason Starr
Prior Knowledge: None
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Limit Definition of Derivative (18.01, Fall 2006)

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Problem 2 (page 1)

Finding the derivative of x3 using the limit definition of a derivative.

Instructor: Prof. David Jerison
Prior Knowledge: None
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Limits and Derivatives (18.01, Fall 2006)

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Problem 3 (page 1)

Evaluating a limit by relating it to a derivative.

Instructor: Prof. David Jerison
Prior Knowledge: None
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Limit Definition of Derivative (18.01, Fall 2006)

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Problem 3 (page 1)

Finding the derivative of 1/x2 using the limit definition of a derivative.

Instructor: Prof. David Jerison
Prior Knowledge: None
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Limits and Derivatives (18.01, Fall 2006)

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Problem 6 (page 2)

Evaluating two limits by relating them to derivatives.

Instructor: Prof. David Jerison
Prior Knowledge: None
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Limit Definition of Derivative (18.01, Fall 2006)

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Problem 7 (page 2)

Finding the derivative of a function using the limit definition of a derivative

Instructor: Prof. David Jerison
Prior Knowledge: None
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Problem 1C-1 (page 2) to problem 1C-6 (page 3)

Six questions involving the definition of a derivative as the limit of a difference quotient, tangent lines to a function at a point, and drawing graphs of the derivatives of functions given in graph form.

Instructor: Prof. David Jerison
Prior Knowledge: None
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