What is the critical f(x,y)=y^3+x^2-6xy+3x+6y-7 ?

The critical f(x,y)=y^3+x^2-6xy+3x+6y-7 is (27/2 ,5),(3/2 ,1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

critical f(x,y)=y^3+x^2-6xy+3x+6y-7

critical points

f (x, y) = y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

(\frac{27}{2}, 5), (\frac{3}{2}, 1)

Solution steps

y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

Find where

\nabla f (x, y)

is equal to zero or undefined

(\frac{27}{2}, 5), (\frac{3}{2}, 1)

y = \frac{x}{( x + 1 ) ^{2}}

- 4 n \cdot \frac{x ln ( x )}{1 - x}

y = 3 - I n (2 x + 7)

x^{\frac{2}{5}} (x - 10)

x^{3} + 3 x y^{2} - 15 x + y^{3} - 15 y

What is the critical f(x,y)=y^3+x^2-6xy+3x+6y-7 ?
The critical f(x,y)=y^3+x^2-6xy+3x+6y-7 is (27/2 ,5),(3/2 ,1)