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Popular >

extreme f(x,y)=x^3

Solution

extreme points

f (x, y) = x^{3}

Solution

Saddle (0, 0)

Solution steps

f^{'} (x) = 3 x^{2}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{3} : 0

Saddle (0, 0)

Popular Examples

extreme f(x)=x^2,-1<= x<= 2 extreme points

f (x) = x^{2}, - 1 \leq x \leq 2

extreme f(x)=3y^2+8y extreme points

f (x) = 3 y^{2} + 8 y

extreme f(x,y)=x^4+y^4-4xy+2 extreme points

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

extreme f(x)= 1/2 x-sin(x)extreme points

f (x) = \frac{1}{2} x - sin (x)

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

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

Frequently Asked Questions (FAQ)

What is the extreme f(x,y)=x^3 ?
The extreme f(x,y)=x^3 is Saddle(0,0)