how do i find the unit vector in the direction for which the directional derivative of f at the point (-3,4) is maximum? f(x,y)=x^2+6y^2

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i found the gradient of f(x,y) already, but then what?

Is that exactly how the question is phrased? I'm a bit perplexed by the maximum part.

yes, but i got the answer already. it is the same gradient vector of f.

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