What is the extreme f(x)=355x^2-1420x^3 ?

The extreme f(x)=355x^2-1420x^3 is Minimum(0,0),Maximum(1/6 , 355/108)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=355x^2-1420x^3

extreme

Minimum (0, 0), Maximum (\frac{1}{6}, \frac{355}{108})

Solution steps

f^{'} (x) = 710 x - 4260 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

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

Decreasing

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

Plug

x = 0

into

355 x^{2} - 1420 x^{3} : 0

Minimum (0, 0)

Plug

x = \frac{1}{6}

into

355 x^{2} - 1420 x^{3} : \frac{355}{108}

Maximum (\frac{1}{6}, \frac{355}{108})

Minimum (0, 0), Maximum (\frac{1}{6}, \frac{355}{108})

What is the extreme f(x)=355x^2-1420x^3 ?
The extreme f(x)=355x^2-1420x^3 is Minimum(0,0),Maximum(1/6 , 355/108)