Directional Derivatives and the Gradient Vector


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A series of free Calculus Video Lessons.
Directional derivative, and the corresponding definition of the gradient vector.

The Gradient Vector - Notation and Definition
This video talks about the directional derivative, and the corresponding definition of the gradient vector.

Gradient and directional derivatives
Introduction to the directional derivatives and the gradient




Finding the Directional Derivative
This video gives the formula and do an example of finding the directional derivative that corresponds to a given angle.

Multivariable Calculus: Directional derivative of $f(x,y)$
This video presents an example and calculates the derivative of a function of two variables in a particular direction. The derivative of $f(x,y) := 1 - x^2/2 - y^4/4$ in the direction of the vector ${\bf u} := (1,1)$.



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