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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

critical points

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

(0, 0), (- 1, 2), (- 1, - 2)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 1, 2), (- 1, - 2)

- 2 e^{- 2 x} (x^{4} - 2 x^{3})

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

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

2 x^{3} - 9 x^{2} + 12 x

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

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