WOLFRAM|DEMONSTRATIONS PROJECT

Derivative of a Vector-Valued Function in 2D

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Δt  0
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This Demonstration shows the definition of a derivative for a vector-valued function in two dimensions. In the limit as
Δt
approaches zero, the difference quotient vector (in green) approaches the tangent vector to the curve (in red).
You can drag the point on the curve to show the behavior at other locations.