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What is the difference between a gradient and a derivative? The text I'm reading keeps mentioning that 'the gradient is the transpose of the derivative'.

Does this mean that $$ \nabla f(v) = df(v)^T $$ and also that $$ \nabla f(v) = \frac{df(v)}{dx} $$

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    You can think of them as matrices of partial derivatives. The difference between the gradient and the derivative is how you arrange the partials in the matrix: one is the transpose of the other.2012-03-12
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    So is $\nabla f(v) = \frac{df(v)}{dx}$ the correct definition of the gradient? As I understand it, the partials of the numerator are laid out according to the shape of f(v), while the denominator is laid out according to the transpose of $x$.2012-03-12

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