What is the extreme x^3-6x^2-15x+4 ?

The extreme x^3-6x^2-15x+4 is Maximum(-1,12),Minimum(5,-96)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-6x^2-15x+4

extreme points

x^{3} - 6 x^{2} - 15 x + 4

Maximum (- 1, 12), Minimum (5, - 96)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x - 15

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = - 1

into

x^{3} - 6 x^{2} - 15 x + 4 : 12

Maximum (- 1, 12)

Plug

x = 5

into

x^{3} - 6 x^{2} - 15 x + 4 : - 96

Minimum (5, - 96)

Maximum (- 1, 12), Minimum (5, - 96)

x^{3} - 6 x^{2} - 15 x + 6

f (x, y) = x^{2} + 2 y^{2} + 3 x + 10

x^{4} - 128 x^{2} + 9

f (x) = 2 x^{3} - 33 x^{2} + 144 x + 3, (4, 9)

4 - 5 x^{2}

What is the extreme x^3-6x^2-15x+4 ?
The extreme x^3-6x^2-15x+4 is Maximum(-1,12),Minimum(5,-96)