Derivative: Limit of the Difference Quotient

 

Derivative

Definition as the limit of a difference quotient.

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Difference Quotient Definition of Derivative

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

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Derivative as Limit of Difference Quotients

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

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

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Limit Definition of Derivative

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

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

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

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Limits and Derivatives

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Evaluating a limit by relating it to a derivative.

Evaluating two limits by relating them to derivatives.

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Slope and Derivative

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.

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