What is the critical f(x,y)=e^{(x^2+0.5y^2-5xy-3x)} ?

The critical f(x,y)=e^{(x^2+0.5y^2-5xy-3x)} is (-3/23 ,-15/23)

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critical f(x,y)=e^{(x^2+0.5y^2-5xy-3x)}

critical points

f (x, y) = e^{(x^{2} + 0.5 y^{2} - 5 x y - 3 x)}

(- \frac{3}{23}, - \frac{15}{23})

Solution steps

e^{x^{2} + 0.5 y^{2} - 5 x y - 3 x}

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{3}{23}, - \frac{15}{23})

What is the critical f(x,y)=e^{(x^2+0.5y^2-5xy-3x)} ?
The critical f(x,y)=e^{(x^2+0.5y^2-5xy-3x)} is (-3/23 ,-15/23)