What is the critical f(x,y)=10-8x+5y+3x^2-7xy+2y^2 ?

The critical f(x,y)=10-8x+5y+3x^2-7xy+2y^2 is (3/25 ,-26/25)

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critical f(x,y)=10-8x+5y+3x^2-7xy+2y^2

critical points

f (x, y) = 10 - 8 x + 5 y + 3 x^{2} - 7 x y + 2 y^{2}

(\frac{3}{25}, - \frac{26}{25})

Solution steps

10 - 8 x + 5 y + 3 x^{2} - 7 x y + 2 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{3}{25}, - \frac{26}{25})

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

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

x^{\frac{2}{3}} (x^{2} - 8)

f (x) = - 4 x^{2} + 2 y^{2} + 3 x + 8 y - 2

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

What is the critical f(x,y)=10-8x+5y+3x^2-7xy+2y^2 ?
The critical f(x,y)=10-8x+5y+3x^2-7xy+2y^2 is (3/25 ,-26/25)