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Popular >

monotone f(x)= x/(6x^2+1)

Solution

monotone intervals

f (x) = \frac{x}{6 x ^{2} + 1}

Solution

Decreasing : - \infty < x < - \frac{1}{6}, Increasing : - \frac{1}{6} < x < \frac{1}{6}, Decreasing : \frac{1}{6} < x < \infty

Solution steps

f^{'} (x) = \frac{- 6 x ^{2} + 1}{( 6 x ^{2} + 1 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{6},

Increasing

: - \frac{1}{6} < x < \frac{1}{6},

Decreasing

: \frac{1}{6} < x < \infty

Decreasing : - \infty < x < - \frac{1}{6}, Increasing : - \frac{1}{6} < x < \frac{1}{6}, Decreasing : \frac{1}{6} < x < \infty

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f (x) = \frac{( 2 x ^{2} - 3 )}{( x ^{2} - 1 )}

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f (x) = x^{2} - 2 x + 1

global 2x^3-5x^2+4x+2 global extreme points

2 x^{3} - 5 x^{2} + 4 x + 2

Frequently Asked Questions (FAQ)

What is the monotone f(x)= x/(6x^2+1) ?
The monotone f(x)= x/(6x^2+1) is