What is the critical f(x,y)=7x^2+10xy^2-7y^2x+1 ?

The critical f(x,y)=7x^2+10xy^2-7y^2x+1 is (0,0)

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critical f(x,y)=7x^2+10xy^2-7y^2x+1

critical points

f (x, y) = 7 x^{2} + 10 x y^{2} - 7 y^{2} x + 1

(0, 0)

Solution steps

7 x^{2} + 10 x y^{2} - 7 y^{2} x + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

f (x) = (x + 3)^{2} - 4 (y - 1)^{2}

\frac{( 24 ( 3 x ^{2} + 4 ) )}{( x ^{2} - 4 ) ^{3}}

- 1000 x^{3} - 1000 x^{2} + 8000 x + 1000

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 3

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 1

What is the critical f(x,y)=7x^2+10xy^2-7y^2x+1 ?
The critical f(x,y)=7x^2+10xy^2-7y^2x+1 is (0,0)