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Math Animations on Instagram: "Gradient fields of a function in two variables are a central concept in mathematics and physics, especially in the field of vector analysis. A gradient field represents the direction and rate of maximum increase of a function. Metaphorically speaking, the gradient field can be thought of as a set of vectors that emanate from each point on a surface and point in the direction in which the function increases the most. For a function that depends on two variables, the
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