Web Reference: Although the notion of having an infinitesimal increment dx is not well-defined in modern mathematical analysis, a variety of techniques exist for defining the infinitesimal differential so that the differential of a function can be handled in a manner that does not clash with the Leibniz notation. We can extend the definition of the directional derivative of a function in 3 variables as: The directional derivative of f ( x , y , z ) at the point ( a , b , c ) and in the direction of the unit vector u u , u The relationship between increments and differentials is a fundamental concept in calculus that describes how small changes in a function's input lead to small changes in its output.
YouTube Excerpt: In this problem we are going to find the
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