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Give the unit vector that has the direction of maximum increase of the function . f(x, y) at the location (−2, 1). For f(x,y)=x^2+2y^2-y

Mathematics
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plug in x and y
f(-2,1)=(-2)^2+2*1^2-1
you will need the gradient first I think

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Other answers:

Yeah is the answer not the gradient divided by the mag?
to get the unit vector? Since the max increase is in the same direction as the gradient?
yes, it should be gradient divided by magnitude
well, the gradient is the maximum direction of change; could be increase or decrease
so how do you know if it's increase or decrease?
I'm actually not too sure in this case. You could do it with multivariable max/min techniques if you know them.
alright man thanks for your help much appreciated
welcome

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