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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^2y
 one year ago
 one year ago
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^2y
 one year ago
 one year ago

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surdawiBest ResponseYou've already chosen the best response.1
f(2,1)=(2)^2+2*1^21
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
you will need the gradient first I think
 one year ago

allsmilesBest ResponseYou've already chosen the best response.0
Yeah is the answer not the gradient divided by the mag?
 one year ago

allsmilesBest ResponseYou've already chosen the best response.0
to get the unit vector? Since the max increase is in the same direction as the gradient?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
yes, it should be gradient divided by magnitude
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
well, the gradient is the maximum direction of change; could be increase or decrease
 one year ago

allsmilesBest ResponseYou've already chosen the best response.0
so how do you know if it's increase or decrease?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
I'm actually not too sure in this case. You could do it with multivariable max/min techniques if you know them.
 one year ago

allsmilesBest ResponseYou've already chosen the best response.0
alright man thanks for your help much appreciated
 one year ago
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