What is the critical f(x,y)=e^{(x^2+0.5y^2-3xy-4x)} ?

The critical f(x,y)=e^{(x^2+0.5y^2-3xy-4x)} is (-4/7 ,-12/7)

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critical f(x,y)=e^{(x^2+0.5y^2-3xy-4x)}

critical points

f (x, y) = e^{(x^{2} + 0.5 y^{2} - 3 x y - 4 x)}

(- \frac{4}{7}, - \frac{12}{7})

Solution steps

e^{x^{2} + 0.5 y^{2} - 3 x y - 4 x}

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{4}{7}, - \frac{12}{7})

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

\frac{x ^{2}}{x ^{2} + 4}

f (x) = x^{5} - 5 x

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

f (x) = x^{4} + 2 x

What is the critical f(x,y)=e^{(x^2+0.5y^2-3xy-4x)} ?
The critical f(x,y)=e^{(x^2+0.5y^2-3xy-4x)} is (-4/7 ,-12/7)