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Popular >

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

Solution

monotone intervals

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

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

Popular Examples

extreme x^4-4x^3+8 extreme points

x^{4} - 4 x^{3} + 8

intercepts of f(x)=(x+2)/(2x+6)intercepts

f (x) = \frac{x + 2}{2 x + 6}

inverse of f(x)=ln(3x)inverse

f (x) = ln (3 x)

critical f(x)= 1/x critical points

f (x) = \frac{1}{x}

range of (x^2-16)/(2x+8)range

\frac{x ^{2} - 16}{2 x + 8}

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