What is the extreme f(x)=x^4-7x^3 ?

The extreme f(x)=x^4-7x^3 is Saddle(0,0),Minimum(21/4 ,-64827/256)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^4-7x^3

extreme points

f (x) = x^{4} - 7 x^{3}

Saddle (0, 0), Minimum (\frac{21}{4}, - \frac{64827}{256})

Solution steps

f^{'} (x) = 4 x^{3} - 21 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{21}{4},

Increasing

: \frac{21}{4} < x < \infty

Plug

x = 0

into

x^{4} - 7 x^{3} : 0

Saddle (0, 0)

Plug

x = \frac{21}{4}

into

x^{4} - 7 x^{3} : - \frac{64827}{256}

Minimum (\frac{21}{4}, - \frac{64827}{256})

Saddle (0, 0), Minimum (\frac{21}{4}, - \frac{64827}{256})

f (x) = (\frac{2}{5})^{x}

y = - \frac{3}{4} x - 2

1 + 8 x - 2 x^{3}

(x - 2)^{2} + 3

- 2 cos (\frac{x}{3} - \frac{π}{9}) - 3

What is the extreme f(x)=x^4-7x^3 ?
The extreme f(x)=x^4-7x^3 is Saddle(0,0),Minimum(21/4 ,-64827/256)