# Derivative: Limit of the Difference Quotient

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## Lecture Notes

#### Derivative

PDF
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

#### Difference Quotient Definition of Derivative

PDF
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

#### Derivative as Limit of Difference Quotients

PDF
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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#### Derivative as Limit of Difference Quotients

PDF
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)

PDF
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)

PDF
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)

PDF
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)

PDF
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)

PDF
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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#### Slope and Derivative

PDF - 2.2 MB#
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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