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Popular >

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

Popular Examples

line (0,-1.45),(180,1.45)line

(0, - 1.45), (180, 1.45)

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\frac{3}{x + 1} + 2

inverse of f(x)=(5x)/(4x-5)inverse

f (x) = \frac{5 x}{4 x - 5}

inverse of ln(x+1)inverse

ln (x + 1)

domain of sqrt(x-3)+x^2-16 domain

x - 3 + x^{2} - 16

Frequently Asked Questions (FAQ)

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