What is the extreme f(x)= x/(x-2),3<= x<= 4 ?

The extreme f(x)= x/(x-2),3<= x<= 4 is Maximum(3,3),Minimum(4,2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)= x/(x-2),3<= x<= 4

extreme points

f (x) = \frac{x}{x - 2}, 3 \leq x \leq 4

Maximum (3, 3), Minimum (4, 2)

Solution steps

Find the critical points:

x = 3, x = 4

Domain of

\frac{x}{x - 2}, 3 \leq x \leq 4 : 3 \leq x \leq 4

Find intervals:

Decreasing

: 3 < x < 4

Plug the extreme point

x = 3

into

\frac{x}{x - 2} \Rightarrow y = 3

Maximum (3, 3)

Plug the extreme point

x = 4

into

\frac{x}{x - 2} \Rightarrow y = 2

Minimum (4, 2)

Maximum (3, 3), Minimum (4, 2)

f (x) = x^{2} + y^{2} - 6 x + 4 y - 10

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

P (x, y) = - 4 x + 52 y - x^{2} + 2 x y - 7 y^{2} + 9

f (x) = 40 + 160 = 200

2 x^{3} + 3 x^{2} - 336 x

What is the extreme f(x)= x/(x-2),3<= x<= 4 ?
The extreme f(x)= x/(x-2),3<= x<= 4 is Maximum(3,3),Minimum(4,2)