What is the extreme (x+1)^9-9x-2 ?

The extreme (x+1)^9-9x-2 is Maximum(-2,15),Minimum(0,-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme (x+1)^9-9x-2

extreme points

(x + 1)^{9} - 9 x - 2

Maximum (- 2, 15), Minimum (0, - 1)

Solution steps

Find the critical points:

x = - 2, x = 0

Domain of

(x + 1)^{9} - 9 x - 2 : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug the extreme point

x = - 2

into

(x + 1)^{9} - 9 x - 2 \Rightarrow y = 15

Maximum (- 2, 15)

Plug the extreme point

x = 0

into

(x + 1)^{9} - 9 x - 2 \Rightarrow y = - 1

Minimum (0, - 1)

Maximum (- 2, 15), Minimum (0, - 1)

f (x) = 7 x^{3} (x + 1)^{2}

y = 17 x^{4} - 102 x^{2}

x^{2} + y - e^{y}

f (x) = [24144]

f (x) = x^{4} - 2 x^{2} + 8, - 4 \leq x \leq 4

What is the extreme (x+1)^9-9x-2 ?
The extreme (x+1)^9-9x-2 is Maximum(-2,15),Minimum(0,-1)