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Popular Functions >

monotone f(x)= x/(x^2+15x+50)

Solution

monotone intervals

f (x) = \frac{x}{x ^{2} + 15 x + 50}

Solution

Decreasing : - \infty < x < - 10, Decreasing : - 10 < x < - 52, Increasing : - 52 < x < - 5, Increasing : - 5 < x < 52, Decreasing : 52 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 50}{( x ^{2} + 15 x + 50 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 10,

Decreasing

: - 10 < x < - 52,

Increasing

: - 52 < x < - 5,

Increasing

: - 5 < x < 52,

Decreasing

: 52 < x < \infty

Decreasing : - \infty < x < - 10, Decreasing : - 10 < x < - 52, Increasing : - 52 < x < - 5, Increasing : - 5 < x < 52, Decreasing : 52 < x < \infty

Graph

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Frequently Asked Questions (FAQ)

What is the monotone f(x)= x/(x^2+15x+50) ?
The monotone f(x)= x/(x^2+15x+50) is