What is the extreme f(x)=x^3-15x^2 ?

The extreme f(x)=x^3-15x^2 is Maximum(0,0),Minimum(10,-500)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=x^3-15x^2

extreme points

f (x) = x^{3} - 15 x^{2}

Maximum (0, 0), Minimum (10, - 500)

Solution steps

f^{'} (x) = 3 x^{2} - 30 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 10,

Increasing

: 10 < x < \infty

Plug

x = 0

into

x^{3} - 15 x^{2} : 0

Maximum (0, 0)

Plug

x = 10

into

x^{3} - 15 x^{2} : - 500

Minimum (10, - 500)

Maximum (0, 0), Minimum (10, - 500)

f (x) = \frac{1}{x ^{2} - 18 x + 90}

(- 2.2) (3)

9 x - 7 y = - 7

\frac{2 x - 3}{x ^{2} - 5 x + 4}

f (x) = x^{\frac{3}{4}} - 9 x^{\frac{1}{4}}

What is the extreme f(x)=x^3-15x^2 ?
The extreme f(x)=x^3-15x^2 is Maximum(0,0),Minimum(10,-500)