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Popular Functions >

monotone f(x)=x^3-4x

Solution

monotone

Solution

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{2}{3},

Decreasing

: - \frac{2}{3} < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Graph

Popular Examples

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asymptotes of f(x)=(x^2+1)/(7x-2x^2)

slope of 7x+5y=10

range of f(x)=\sqrt[3]{x+4}

extreme f(x)=-x^3-3x^2

Frequently Asked Questions (FAQ)

What is the monotone f(x)=x^3-4x ?
The monotone f(x)=x^3-4x is