What is the extreme f(x)=3cos(x) ?

The extreme f(x)=3cos(x) is Maximum(2pin,3),Minimum(pi+2pin,-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x)=3cos(x)

extreme points

f (x) = 3 cos (x)

Maximum (2 πn, 3), Minimum (π + 2 πn, - 3)

Solution steps

Find the critical points:

x = 2 πn, x = π + 2 πn

Domain of

3 cos (x) : - \infty < x < \infty

Find intervals:

Decreasing

: 2 πn < x < π + 2 πn,

Increasing

: π + 2 πn < x < 2 π + 2 πn

Plug the extreme point

x = 2 πn

into

3 cos (x) \Rightarrow y = 3

Maximum (2 πn, 3)

Plug the extreme point

x = π + 2 πn

into

3 cos (x) \Rightarrow y = - 3

Minimum (π + 2 πn, - 3)

Maximum (2 πn, 3), Minimum (π + 2 πn, - 3)

y = - 3 x - 2

y = - 3 x + 5

f (x) = - 2 x + 1

2 x^{3} - 30 x^{2} + 126 x - 98

y = 4 x

What is the extreme f(x)=3cos(x) ?
The extreme f(x)=3cos(x) is Maximum(2pin,3),Minimum(pi+2pin,-3)