Show that, in terms of polar coordinates .r; / (where x D r
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Show that, in terms of polar coordinates .r; / (where x D r cos and y D r sin ), the gradient of a function f .r; / is g
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Show that, in terms of polar coordinates .r; / (where x D r cos and y D r sin ), the gradient of a function f .r; / is given by rf D @f @r rO C 1 r @f @ O; where rO is a unit vector in the direction of the position vector r D x i C y j, and O is a unit vector at right angles to rO in the direction of increasing .
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