What is the extreme xsqrt(x+1) ?

The extreme xsqrt(x+1) is Maximum(-1,0),Minimum(-2/3 ,-2/(3sqrt(3)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme xsqrt(x+1)

extreme

Maximum (- 1, 0), Minimum (- \frac{2}{3}, - \frac{2}{3 3})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - 1

into

x x + 1 : 0

Maximum (- 1, 0)

Plug

x = - \frac{2}{3}

into

x x + 1 : - \frac{2}{3 3}

Minimum (- \frac{2}{3}, - \frac{2}{3 3})

Maximum (- 1, 0), Minimum (- \frac{2}{3}, - \frac{2}{3 3})

What is the extreme xsqrt(x+1) ?
The extreme xsqrt(x+1) is Maximum(-1,0),Minimum(-2/3 ,-2/(3sqrt(3)))