What is the extreme f(x)=-2x^3+33x^2-144x+1 ?

The extreme f(x)=-2x^3+33x^2-144x+1 is Minimum(3,-188),Maximum(8,-63)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=-2x^3+33x^2-144x+1

extreme points

f (x) = - 2 x^{3} + 33 x^{2} - 144 x + 1

Minimum (3, - 188), Maximum (8, - 63)

Solution steps

f^{'} (x) = - 6 x^{2} + 66 x - 144

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < 8,

Decreasing

: 8 < x < \infty

Plug

x = 3

into

- 2 x^{3} + 33 x^{2} - 144 x + 1 : - 188

Minimum (3, - 188)

Plug

x = 8

into

- 2 x^{3} + 33 x^{2} - 144 x + 1 : - 63

Maximum (8, - 63)

Minimum (3, - 188), Maximum (8, - 63)

y = - 2 x^{2} - 3 x + 1

f (x) = 4 x^{3} ln (4 x)

f (x) = 6 x + ln (x)

f (x, y) = x \cdot y^{2} - 6 \cdot x^{2} - 3 x + 2 \cdot x \cdot y + 9

U (x, y) = ln (1 + x y)

What is the extreme f(x)=-2x^3+33x^2-144x+1 ?
The extreme f(x)=-2x^3+33x^2-144x+1 is Minimum(3,-188),Maximum(8,-63)