# Directional Derivatives and the Gradient

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This Demonstration visually explains the theorem stating that the directional derivative of the function at the point , ) in the direction of the unit vector is equal to the dot product of the gradient of with . If we denote the partial derivatives of at this point by and and the components of the unit vector by and , we can state the theorem as follows:

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Contributed by: Bruce Torrence (March 2011)

Open content licensed under CC BY-NC-SA

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