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The gradient is like the king of all partial derivatives. Or perhaps it's more like the country they all live it. It stores all partial derivative information in a single vector-valued function, and as such it is a central tool for analyzing rates of change in multivariable functions.

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6663_Gradient_and_graphs.html

6667_Directional_derivatives_and_slope.html

6664_Gradient_and_contour_maps.html

6668_Why_the_gradient_is_the_direction_of_steepest_ascent.html

6666_Directional_derivative_formal_definition.html

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