What is the critical f(x)=9x^2+2y^2-xy^2 ?

The critical f(x)=9x^2+2y^2-xy^2 is (0,0),(2,6),(2,-6)

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critical f(x)=9x^2+2y^2-xy^2

critical points

f (x) = 9 x^{2} + 2 y^{2} - x y^{2}

(0, 0), (2, 6), (2, - 6)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, 6), (2, - 6)

f (x) = 4 x^{\frac{1}{3}} - 8 x^{\frac{4}{3}}

4 x 100 - x^{2}

f (x) = ln (x^{3}) - 9 x

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

f (x) = 3 x + 5

What is the critical f(x)=9x^2+2y^2-xy^2 ?
The critical f(x)=9x^2+2y^2-xy^2 is (0,0),(2,6),(2,-6)