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critical f(x,y)=2x^2+y^2

Solution

critical points

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

Solution

(0, 0)

Solution steps

2 x^{2} + y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0)

Popular Examples

critical f(x)=2+3x-x^3 critical points

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

critical f(x,y)=5xy+3ln(x)+4y critical points

f (x, y) = 5 x y + 3 ln (x) + 4 y

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

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

critical f(x)=x^3+2y^2+2xy-5 critical points

f (x) = x^{3} + 2 y^{2} + 2 x y - 5

critical y=xsqrt(8-x^2)critical points

y = x 8 - x^{2}

Frequently Asked Questions (FAQ)

What is the critical f(x,y)=2x^2+y^2 ?
The critical f(x,y)=2x^2+y^2 is (0,0)