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Find the direction f(x,y) increases and decreases most rapidly at point P and find the derivatives of the functions in these directions (f(x,y) and P included in the image)

Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions
f(x.y) x2 +xy+y2
Po-3,-1)
The direction in which the given function f(x,y) x xy+yincreases most rapidly at Po(-3, -1) is u
(Type exact answers, using radicals as needed.)
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Transcribed Image Text:Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions f(x.y) x2 +xy+y2 Po-3,-1) The direction in which the given function f(x,y) x xy+yincreases most rapidly at Po(-3, -1) is u (Type exact answers, using radicals as needed.)
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