Question

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.)

Image Transcription

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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