What is the extreme f(x)= 2/3 x^3-2x^2+44/3 ?

The extreme f(x)= 2/3 x^3-2x^2+44/3 is Maximum(0, 44/3),Minimum(2,12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)= 2/3 x^3-2x^2+44/3

extreme

Maximum (0, \frac{44}{3}), Minimum (2, 12)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

\frac{2}{3} x^{3} - 2 x^{2} + \frac{44}{3} : \frac{44}{3}

Maximum (0, \frac{44}{3})

Plug

x = 2

into

\frac{2}{3} x^{3} - 2 x^{2} + \frac{44}{3} : 12

Minimum (2, 12)

Maximum (0, \frac{44}{3}), Minimum (2, 12)

What is the extreme f(x)= 2/3 x^3-2x^2+44/3 ?
The extreme f(x)= 2/3 x^3-2x^2+44/3 is Maximum(0, 44/3),Minimum(2,12)