en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=x+9/x-4

Solution

extreme points

y = x + \frac{9}{x} - 4

Solution

Maximum (- 3, - 10), Minimum (3, 2)

Solution steps

f^{'} (x) = - \frac{9}{x ^{2}} + 1

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Plug

x = - 3

into

x + \frac{9}{x} - 4 : - 10

Maximum (- 3, - 10)

Plug

x = 3

into

x + \frac{9}{x} - 4 : 2

Minimum (3, 2)

Maximum (- 3, - 10), Minimum (3, 2)

Popular Examples

extreme y=1990+550ln(x)extreme points

y = 1990 + 550 ln (x)

extreme f(x)=((15/4)x)+(5x^3)-(90x^2)+15 extreme points

f (x) = ((\frac{15}{4}) x) + (5 x^{3}) - (90 x^{2}) + 15

extreme f(x,y)=1+e^{(x^2+y^2)}extreme points

f (x, y) = 1 + e^{(x^{2} + y^{2})}

extreme A(3,-5)B(1,-2)extreme points

A (3, - 5) B (1, - 2)

extreme f(x)=518x-3x^2-100-50x extreme points

f (x) = 518 x - 3 x^{2} - 100 - 50 x

Frequently Asked Questions (FAQ)

What is the extreme y=x+9/x-4 ?
The extreme y=x+9/x-4 is Maximum(-3,-10),Minimum(3,2)