What is the extreme f(x,y)=x^2y^3-10y+15xy^2 ?

The extreme f(x,y)=x^2y^3-10y+15xy^2 is None

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extreme f(x,y)=x^2y^3-10y+15xy^2

extreme points

f (x, y) = x^{2} y^{3} - 10 y + 15 x y^{2}

None

Solution steps

Find the critical points:

None

x^{2} y^{3} - 10 y + 15 x y^{2}

has no critical points, therefore there are no extreme points

None

x^{2} + x y + y^{2} + 3 x - 3 y + 4

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

f (x, y) = 3 y^{3} + 5 x^{2} y - 24 x^{2} - 24 y^{2} - 2

f (x) = sin (2 x), 0 \leq x \leq 2 π

f (x) = 2 x^{3} - 15 x^{2} + 36 x

What is the extreme f(x,y)=x^2y^3-10y+15xy^2 ?
The extreme f(x,y)=x^2y^3-10y+15xy^2 is None