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Popular >

monotone f(x)= x/(x^2+6x+8)

Solution

monotone intervals

f (x) = \frac{x}{x ^{2} + 6 x + 8}

Solution

Decreasing : - \infty < x < - 4, Decreasing : - 4 < x < - 22, Increasing : - 22 < x < - 2, Increasing : - 2 < x < 22, Decreasing : 22 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 8}{( x ^{2} + 6 x + 8 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < - 22,

Increasing

: - 22 < x < - 2,

Increasing

: - 2 < x < 22,

Decreasing

: 22 < x < \infty

Decreasing : - \infty < x < - 4, Decreasing : - 4 < x < - 22, Increasing : - 22 < x < - 2, Increasing : - 2 < x < 22, Decreasing : 22 < x < \infty

Popular Examples

symmetry x^2-x-6 symmetry

x^{2} - x - 6

f (x) = \frac{2}{x - 1}

domain of x-sqrt(x)domain

x - x

range of 10^{x-2}-5 range

1 0^{x - 2} - 5

domain of (2x-1)/(x^3-4x)domain

\frac{2 x - 1}{x ^{3} - 4 x}

Frequently Asked Questions (FAQ)

What is the monotone f(x)= x/(x^2+6x+8) ?
The monotone f(x)= x/(x^2+6x+8) is