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Popular Functions >

extreme f(x)=x^4+4x

Solution

extreme points

f (x) = x^{4} + 4 x

Solution

Minimum (- 1, - 3)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

x^{4} + 4 x : - 3

Minimum (- 1, - 3)

Graph

Popular Examples

extreme f(x,y)=-3xy+x^3-y^3+1/8

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extreme f(x,y)=8x^2+8xy+10y^2-24x-28y+27

extreme f(x,y)=3x+2y

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^4+4x ?
The extreme f(x)=x^4+4x is Minimum(-1,-3)