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(Solved): For each of the following functions, find the location of all relative extrema and classify them a ...



For each of the following functions, find the location of all relative extrema and classify them as a relative minimum, maxim

For each of the following functions, find the location of all relative extrema and classify them as a relative minimum, maximum, or saddle point. (a) \( f(x, y)=x^{3}-3 x y+2 y^{2} \) (b) \( f(x, y)=y e^{x}-x \) (c) \( f(x, y)=x y-x^{2}-y^{2} \)


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a.) given that f(x,y)=x3?3xy+2y2 fx=3x2?3y fy=?3x+4y critical points when fx=0andfy=0 3x2?3y=0and?3x+4y=0 y=34x then , 3x2?3(3x4)=0?3x2?9x4=0 x=0,34 x
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