What is the critical x^2+y^2+xy^2-10 ?

The critical x^2+y^2+xy^2-10 is (0,0),(-1,sqrt(2)),(-1,-sqrt(2))

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critical x^2+y^2+xy^2-10

critical points

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

(0, 0), (- 1, 2), (- 1, - 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 1, 2), (- 1, - 2)

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

x y + \frac{1}{x} + \frac{1}{y}

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 27

\frac{e ^{2 x}}{x + 2}

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

What is the critical x^2+y^2+xy^2-10 ?
The critical x^2+y^2+xy^2-10 is (0,0),(-1,sqrt(2)),(-1,-sqrt(2))