What is the critical 7x-8y+2xy-x^2+y^3 ?

The critical 7x-8y+2xy-x^2+y^3 is (23/6 , 1/3),(5/2 ,-1)

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critical 7x-8y+2xy-x^2+y^3

critical points

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

(\frac{23}{6}, \frac{1}{3}), (\frac{5}{2}, - 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{23}{6}, \frac{1}{3}), (\frac{5}{2}, - 1)

f (x) = 9 x + 6 x^{- 1}

2 x^{3} - 9 x^{2} - 24 x + 1

3 x^{4} + 4 x^{3} - 12 x^{2} + 10

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

f (x) = x^{4} e^{x}

What is the critical 7x-8y+2xy-x^2+y^3 ?
The critical 7x-8y+2xy-x^2+y^3 is (23/6 , 1/3),(5/2 ,-1)