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Popular >

extreme f(x,y)=x^4

Solution

extreme points

f (x, y) = x^{4}

Solution

Minimum (0, 0)

Solution steps

f^{'} (x) = 4 x^{3}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{4} : 0

Minimum (0, 0)

Graph

Popular Examples

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f (x) = (x - 5) (x + 2)

extreme e^x-2e^{-x}-3x extreme points

e^{x} - 2 e^{- x} - 3 x

extreme f(x)=x^3+3x^2-4x-12 extreme points

f (x) = x^{3} + 3 x^{2} - 4 x - 12

extreme f(x)=x^3+3x^2-24x+6 extreme points

f (x) = x^{3} + 3 x^{2} - 24 x + 6

extreme y=x^3-6x^2+9x+1 extreme points

y = x^{3} - 6 x^{2} + 9 x + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x,y)=x^4 ?
The extreme f(x,y)=x^4 is Minimum(0,0)