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I just want to confirm with the experts here that I have understood the concept of the gradient correctly.

So, a gradient for a function is a vector field that has the partial derivatives of the function. So, for each point in the domain of the function there is a vector associated and each component of that vector tells us how that function is changing at that point w.r.t to the given variables.

So, if I take a function in 3D space which is parameterized over x, y and z directions then the vector woould have 3 components and each component is telling us how the function is changing in that given direction.

Is this explanation sensible?

Thanks,

Luc

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# Understanding of gradient

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