What is the critical 14x^2-2x^3+2y^2+4xy ?

The critical 14x^2-2x^3+2y^2+4xy is (0,0),(4,-4)

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critical 14x^2-2x^3+2y^2+4xy

critical points

14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

(0, 0), (4, - 4)

Solution steps

14 x^{2} - 2 x^{3} + 2 y^{2} + 4 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (4, - 4)

f (x) = sin^{2} (x), 0 \leq x \leq 2 π

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

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

3 x^{2} + 12 x + 9

T (x, y) = 10 (x^{2} + y^{2})^{2}

What is the critical 14x^2-2x^3+2y^2+4xy ?
The critical 14x^2-2x^3+2y^2+4xy is (0,0),(4,-4)