What is the critical f(x)=(x+3)^2-4(y-1)^2 ?

The critical f(x)=(x+3)^2-4(y-1)^2 is (-3,1)

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

critical points

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

(- 3, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(- 3, 1)

\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

(x - 2)^{\frac{2}{3}}

What is the critical f(x)=(x+3)^2-4(y-1)^2 ?
The critical f(x)=(x+3)^2-4(y-1)^2 is (-3,1)