What is the critical f(x,y)=11x^3+4y^3-8y-66 ?

The critical f(x,y)=11x^3+4y^3-8y-66 is (0,sqrt(2/3)),(0,-sqrt(2/3)),(0,-sqrt(2/3)),(0,sqrt(2/3))

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critical f(x,y)=11x^3+4y^3-8y-66

critical points

f (x, y) = 11 x^{3} + 4 y^{3} - 8 y - 66

(0, \frac{2}{3}), (0, - \frac{2}{3}), (0, - \frac{2}{3}), (0, \frac{2}{3})

Solution steps

11 x^{3} + 4 y^{3} - 8 y - 66

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, \frac{2}{3}), (0, - \frac{2}{3}), (0, - \frac{2}{3}), (0, \frac{2}{3})

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

f (x) = \frac{5 x ^{2}}{x ^{2} + 16}

f (x) = x - 4 x

\frac{3 x ^{2}}{x ^{2} + 16}

f (x) = e^{- x} (1 - x)

What is the critical f(x,y)=11x^3+4y^3-8y-66 ?
The critical f(x,y)=11x^3+4y^3-8y-66 is (0,sqrt(2/3)),(0,-sqrt(2/3)),(0,-sqrt(2/3)),(0,sqrt(2/3))