What is the extreme f(x)=6cos(x) ?

The extreme f(x)=6cos(x) is Maximum(2pin,6),Minimum(pi+2pin,-6)

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extreme f(x)=6cos(x)

extreme points

f (x) = 6 cos (x)

Maximum (2 πn, 6), Minimum (π + 2 πn, - 6)

Solution steps

Find the critical points:

x = 2 πn, x = π + 2 πn

Domain of

6 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

6 cos (x) \Rightarrow y = 6

Maximum (2 πn, 6)

Plug the extreme point

x = π + 2 πn

into

6 cos (x) \Rightarrow y = - 6

Minimum (π + 2 πn, - 6)

Maximum (2 πn, 6), Minimum (π + 2 πn, - 6)

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

2 x^{3} + 3 x^{2} - 12 x - 18

f (x) = 4.5 x^{2} - 7.1 x + 3.9

y = 6 - 2 x^{2} - z^{2}

x^{3} - 9 x^{2} + 24 x - 12

What is the extreme f(x)=6cos(x) ?
The extreme f(x)=6cos(x) is Maximum(2pin,6),Minimum(pi+2pin,-6)