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Popular Functions >

monotone x/(x^2+15x+54)

Solution

monotone intervals

\frac{x}{x ^{2} + 15 x + 54}

Solution

Decreasing : - \infty < x < - 9, Decreasing : - 9 < x < - 36, Increasing : - 36 < x < - 6, Increasing : - 6 < x < 36, Decreasing : 36 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 54}{( x ^{2} + 15 x + 54 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 9,

Decreasing

: - 9 < x < - 36,

Increasing

: - 36 < x < - 6,

Increasing

: - 6 < x < 36,

Decreasing

: 36 < x < \infty

Decreasing : - \infty < x < - 9, Decreasing : - 9 < x < - 36, Increasing : - 36 < x < - 6, Increasing : - 6 < x < 36, Decreasing : 36 < x < \infty

Graph

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Frequently Asked Questions (FAQ)

What is the monotone x/(x^2+15x+54) ?
The monotone x/(x^2+15x+54) is