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Popular >

extreme f(x)=5xy

Solution

extreme points

f (x) = 5 x y

Solution

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - 25

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

Graph

Popular Examples

extreme f(x,y)=x^3+y^3-192x-300y+2 extreme points

f (x, y) = x^{3} + y^{3} - 192 x - 300 y + 2

extreme f(x)=(4x^2)/(x^2+3)extreme points

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

extreme y=2x^3-3x^2-12x+1 extreme points

y = 2 x^{3} - 3 x^{2} - 12 x + 1

extreme f(x)=7x^{2/3}extreme points

f (x) = 7 x^{\frac{2}{3}}

extreme x^4+x^3-3x^2+1 extreme points

x^{4} + x^{3} - 3 x^{2} + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=5xy ?
The extreme f(x)=5xy is Saddle(0,0)