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Popular >

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)

Popular Examples

domain of f(x)=\sqrt[3]{x-3}domain

asymptotes of 2x^2+5x-7 asymptotes

2 x^{2} + 5 x - 7

inflection f(x)=x(8-x)^{1/3}inflection points

f (x) = x (8 - x)^{\frac{1}{3}}

domain of f(x)=(3+x)/(1-3x)domain

f (x) = \frac{3 + x}{1 - 3 x}

symmetry x^2-4 symmetry

x^{2} - 4

Frequently Asked Questions (FAQ)

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