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The Definition of the Derivative

The gray secant line joins the fixed red point on the graph of

to a movable black point on the curve. Drag the black point along the curve. The slopes of the secant lines approximate the slope of the tangent line, which is the derivative of the function at

Contributed by: Jim Swift

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Derivative (Wolfram MathWorld)

"The Definition of the Derivative" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheDefinitionOfTheDerivative/

Contributed by: Jim Swift

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