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Importance of determining gradient
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In vector calculus, the gradient is a multi-variable generalization of the derivative.[1] Whereas the ordinary derivative of a function of a single variable is a scalar-valued function, the gradient of a function of several variables is a vector-valued function. Specifically, the gradient of a differentiable function {\displaystyle f} f of several variables, at a point {\displaystyle P} P, is the vector whose components are the partial derivatives
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The gradient of any line or curve tell us the rate of change of one variable with respect to another.
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