What is the critical f(x,y)=5xy+3ln(x)+4y ?

The critical f(x,y)=5xy+3ln(x)+4y is (-4/5 , 3/4)

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critical f(x,y)=5xy+3ln(x)+4y

critical points

f (x, y) = 5 x y + 3 ln (x) + 4 y

(- \frac{4}{5}, \frac{3}{4})

Solution steps

5 x y + 3 ln (x) + 4 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{4}{5}, \frac{3}{4})

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

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

y = x 8 - x^{2}

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

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

What is the critical f(x,y)=5xy+3ln(x)+4y ?
The critical f(x,y)=5xy+3ln(x)+4y is (-4/5 , 3/4)