What is the extreme f(x)=x^2y+xy^2 ?

The extreme f(x)=x^2y+xy^2 is None

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extreme f(x)=x^2y+xy^2

extreme points

f (x) = x^{2} y + x y^{2}

None

Solution steps

Find the critical points:

None

x^{2} y + x y^{2}

has no critical points, therefore there are no extreme points

None

f (x) = x^{2} - 6 x + 11

f (x) = x + \frac{256}{x ^{2}}

3 x^{2} - 12 x + 9

f (x) = x^{3} - (\frac{1}{2}) x^{2} - 4 x + 12

f (x) = \frac{x ^{3}}{3} + x^{2} - 3 x