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Popular >

monotone f(x)=6x+4/x

Solution

monotone intervals

f (x) = 6 x + \frac{4}{x}

Solution

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < 0, Decreasing : 0 < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - \frac{2}{3},

Decreasing

: - \frac{2}{3} < x < 0,

Decreasing

: 0 < x < \frac{2}{3},

Increasing

: \frac{2}{3} < x < \infty

Increasing : - \infty < x < - \frac{2}{3}, Decreasing : - \frac{2}{3} < x < 0, Decreasing : 0 < x < \frac{2}{3}, Increasing : \frac{2}{3} < x < \infty

Popular Examples

slope of x+2y=-4 slope

x + 2 y = - 4

line (0,4),(9,8)line

(0, 4), (9, 8)

perpendicular 3x+2y+3=0 perpendicular

3 x + 2 y + 3 = 0

domain of (x-2)/(x+4)domain

\frac{x - 2}{x + 4}

domain of f(x)=-7x+7 domain

f (x) = - 7 x + 7

Frequently Asked Questions (FAQ)

What is the monotone f(x)=6x+4/x ?
The monotone f(x)=6x+4/x is