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Popular Functions >

monotone f(x)=x(1-x)(1+x)

Solution

monotone

Solution

Decreasing : - \infty < x < - \frac{1}{3}, Increasing : - \frac{1}{3} < x < \frac{1}{3}, Decreasing : \frac{1}{3} < x < \infty

Solution steps

f^{'} (x) = - (3 x + 1) (3 x - 1)

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{3},

Increasing

: - \frac{1}{3} < x < \frac{1}{3},

Decreasing

: \frac{1}{3} < x < \infty

Decreasing : - \infty < x < - \frac{1}{3}, Increasing : - \frac{1}{3} < x < \frac{1}{3}, Decreasing : \frac{1}{3} < x < \infty

Graph

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Frequently Asked Questions (FAQ)

What is the monotone f(x)=x(1-x)(1+x) ?
The monotone f(x)=x(1-x)(1+x) is