What is the critical f(x,y)=5xy+5ln(x)+8y ?

The critical f(x,y)=5xy+5ln(x)+8y is (-8/5 , 5/8)

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critical f(x,y)=5xy+5ln(x)+8y

critical points

f (x, y) = 5 x y + 5 ln (x) + 8 y

(- \frac{8}{5}, \frac{5}{8})

Solution steps

5 x y + 5 ln (x) + 8 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(- \frac{8}{5}, \frac{5}{8})

f (x) = \frac{x ^{2} - 2 x + 4}{( x - 1 ) ^{2}}

x ln (4 x)

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

f (x) = \frac{4}{3} x^{- \frac{2}{3}} (x - 1)

f (x) = 2 x^{3} + 3 x^{2} - 72 x - 9

What is the critical f(x,y)=5xy+5ln(x)+8y ?
The critical f(x,y)=5xy+5ln(x)+8y is (-8/5 , 5/8)