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Popular >

monotone (x^5)/(x^2-1)

Solution

monotone intervals

\frac{x ^{5}}{x ^{2} - 1}

Solution

Increasing : - \infty < x < - \frac{5}{3}, Decreasing : - \frac{5}{3} < x < - 1, Decreasing : - 1 < x < 0, Decreasing : 0 < x < 1, Decreasing : 1 < x < \frac{5}{3}, Increasing : \frac{5}{3} < x < \infty

Solution steps

f^{'} (x) = \frac{3 x ^{6} - 5 x ^{4}}{( x ^{2} - 1 ) ^{2}}

Find intervals:

Increasing

: - \infty < x < - \frac{5}{3},

Decreasing

: - \frac{5}{3} < x < - 1,

Decreasing

: - 1 < x < 0,

Decreasing

: 0 < x < 1,

Decreasing

: 1 < x < \frac{5}{3},

Increasing

: \frac{5}{3} < x < \infty

Increasing : - \infty < x < - \frac{5}{3}, Decreasing : - \frac{5}{3} < x < - 1, Decreasing : - 1 < x < 0, Decreasing : 0 < x < 1, Decreasing : 1 < x < \frac{5}{3}, Increasing : \frac{5}{3} < x < \infty

Popular Examples

midpoint (-5,-2),(-8,-5)midpoint

(- 5, - 2), (- 8, - 5)

domain of 1/5 x-3 domain

\frac{1}{5} x - 3

range of f(x)=sqrt(x-12)range

f (x) = x - 12

asymptotes of f(x)=(4x)/(x^2+3x-10)asymptotes

f (x) = \frac{4 x}{x ^{2} + 3 x - 10}

range of arctan(x)range

arctan (x)

Frequently Asked Questions (FAQ)

What is the monotone (x^5)/(x^2-1) ?
The monotone (x^5)/(x^2-1) is