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I don't understand this answer. I sorta get how they got the first part (blue) but not the second part (pink). Also, why lambda in the blue part?
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Apart where x(t) and y(t) are coming from (I don't know...), their slope/descend (vector) should equal the gradient (aka steepest vector descend). Hence the BLUE equation.

I don't get where the PINK equation comes from, nor why lambda is necessary.

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