What is the extreme f(x)=sqrt(81-x^2) ?

The extreme f(x)=sqrt(81-x^2) is Minimum(-9,0),Maximum(0,9),Minimum(9,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=sqrt(81-x^2)

extreme points

f (x) = 81 - x^{2}

Minimum (- 9, 0), Maximum (0, 9), Minimum (9, 0)

Solution steps

f^{'} (x) = - \frac{x}{81 - x ^{2}}

Find intervals:

Increasing

: - 9 < x < 0,

Decreasing

: 0 < x < 9

Plug

x = - 9

into

81 - x^{2} : 0

Minimum (- 9, 0)

Plug

x = 0

into

81 - x^{2} : 9

Maximum (0, 9)

Plug

x = 9

into

81 - x^{2} : 0

Minimum (9, 0)

Minimum (- 9, 0), Maximum (0, 9), Minimum (9, 0)

f (x) = 3 x + 1

3 cos (x + \frac{π}{2})

f (x) = \frac{x - 4}{x + 2}

\frac{2 x + 3}{x}

What is the extreme f(x)=sqrt(81-x^2) ?
The extreme f(x)=sqrt(81-x^2) is Minimum(-9,0),Maximum(0,9),Minimum(9,0)