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Popular >

monotone f(x)= x/(x^2-4x+3)

Solution

monotone intervals

f (x) = \frac{x}{x ^{2} - 4 x + 3}

Solution

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < 1, Increasing : 1 < x < 3, Decreasing : 3 < x < 3, Decreasing : 3 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 3}{( x ^{2} - 4 x + 3 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 1,

Increasing

: 1 < x < 3,

Decreasing

: 3 < x < 3,

Decreasing

: 3 < x < \infty

Decreasing : - \infty < x < - 3, Increasing : - 3 < x < 1, Increasing : 1 < x < 3, Decreasing : 3 < x < 3, Decreasing : 3 < x < \infty

Popular Examples

perpendicular x=-2,(-4,1)perpendicular

x = - 2, (- 4, 1)

asymptotes of f(x)=4x^2+x-6 asymptotes

f (x) = 4 x^{2} + x - 6

critical x^3-9x^2+15x critical points

x^{3} - 9 x^{2} + 15 x

domain of 2-sqrt(x+1)domain

2 - x + 1

domain of x^2+6x+9 domain

x^{2} + 6 x + 9

Frequently Asked Questions (FAQ)

What is the monotone f(x)= x/(x^2-4x+3) ?
The monotone f(x)= x/(x^2-4x+3) is