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Popular Functions >

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

Graph

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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