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Popular >

monotone x/(x^2-6x+8)

Solution

monotone intervals

\frac{x}{x ^{2} - 6 x + 8}

Solution

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 22,

Increasing

: - 22 < x < 2,

Increasing

: 2 < x < 22,

Decreasing

: 22 < x < 4,

Decreasing

: 4 < x < \infty

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

Popular Examples

domain of f(x)=-2sqrt(x+4)+3 domain

f (x) = - 2 x + 4 + 3

domain of y=(5x)/(x+5)domain

y = \frac{5 x}{x + 5}

critical 16cos(x)+8sin^2(x)critical points

16 cos (x) + 8 sin^{2} (x)

domain of f(x)=x^2+2x+4 domain

f (x) = x^{2} + 2 x + 4

range of f(x)=(x^2)/(x-9)range

f (x) = \frac{x ^{2}}{x - 9}

Frequently Asked Questions (FAQ)

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