given f(x,y,z) = x^2 + 2xy + yz+z^2+6z what is the rate of change if i move from (2,-1,0) toward (0,2,-1). Do i just take the gradient of f at (2,-1,0) and (0,2,-1) and find the difference? Not sure what to do here.
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Right. There is no parameter, such as time, to give us something to compare to distance with. ... unless ... How much does f change relative to the distance between those two points?
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