What is the extreme y=2x^3-24x^2+90x+8 ?

The extreme y=2x^3-24x^2+90x+8 is Maximum(3,116),Minimum(5,108)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme y=2x^3-24x^2+90x+8

extreme points

y = 2 x^{3} - 24 x^{2} + 90 x + 8

Maximum (3, 116), Minimum (5, 108)

Solution steps

f^{'} (x) = 6 x^{2} - 48 x + 90

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < 5,

Increasing

: 5 < x < \infty

Plug

x = 3

into

2 x^{3} - 24 x^{2} + 90 x + 8 : 116

Maximum (3, 116)

Plug

x = 5

into

2 x^{3} - 24 x^{2} + 90 x + 8 : 108

Minimum (5, 108)

Maximum (3, 116), Minimum (5, 108)

What is the extreme y=2x^3-24x^2+90x+8 ?
The extreme y=2x^3-24x^2+90x+8 is Maximum(3,116),Minimum(5,108)