What is the monotone f(x)=5x^2-(12)/(x+3) ?

The monotone f(x)=5x^2-(12)/(x+3) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

monotone f(x)=5x^2-(12)/(x+3)

monotone intervals

f (x) = 5 x^{2} - \frac{12}{x + 3}

Decreasing : - \infty < x < - 3.57903 \dots, Increasing : - 3.57903 \dots < x < - 3, Increasing : - 3 < x < - 2.27348 \dots, Decreasing : - 2.27348 \dots < x < - 0.14747 \dots, Increasing : - 0.14747 \dots < x < \infty

Solution steps

Find the critical points:

x = - 3.57903 \dots, x \approx - 2.27348 \dots, x \approx - 0.14747 \dots

Domain of

5 x^{2} - \frac{12}{x + 3} : x < - 3 or x > - 3

Find intervals:

Decreasing

: - \infty < x < - 3.57903 \dots,

Increasing

: - 3.57903 \dots < x < - 3,

Increasing

: - 3 < x < - 2.27348 \dots,

Decreasing

: - 2.27348 \dots < x < - 0.14747 \dots,

Increasing

: - 0.14747 \dots < x < \infty

Decreasing : - \infty < x < - 3.57903 \dots, Increasing : - 3.57903 \dots < x < - 3, Increasing : - 3 < x < - 2.27348 \dots, Decreasing : - 2.27348 \dots < x < - 0.14747 \dots, Increasing : - 0.14747 \dots < x < \infty

- sin (3 x)

\frac{x}{x - 3}

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

f (x) = \frac{4 x + 2}{x - 9}

f (x) = \frac{x ^{2} + 17}{x - 2}

What is the monotone f(x)=5x^2-(12)/(x+3) ?
The monotone f(x)=5x^2-(12)/(x+3) is