What is the critical f(x,y)=x+8y+1/(xy) ?

The critical f(x,y)=x+8y+1/(xy) is (2, 1/4)

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critical f(x,y)=x+8y+1/(xy)

critical points

f (x, y) = x + 8 y + \frac{1}{x y}

(2, \frac{1}{4})

Solution steps

x + 8 y + \frac{1}{x y}

Find where

\nabla f (x, y)

is equal to zero or undefined

(2, \frac{1}{4})

f (x, y) = - x^{2} + y^{2} + 2 x + 4 y + 7

\frac{x ^{2} + 3}{x - 1}

∣ x ∣ + \frac{x}{8}

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

\frac{300}{1 + 9 e ^{- 0.4 t}}

What is the critical f(x,y)=x+8y+1/(xy) ?
The critical f(x,y)=x+8y+1/(xy) is (2, 1/4)