What is the extreme 3cos^2(x) ?

The extreme 3cos^2(x) is Maximum(pin,3),Minimum(pi/2+pin,0)

Popular >

extreme 3cos^2(x)

extreme points

3 cos^{2} (x)

Maximum (πn, 3), Minimum (\frac{π}{2} + πn, 0)

Solution steps

Find the critical points:

x = πn, x = \frac{π}{2} + πn

Domain of

3 cos^{2} (x) : - \infty < x < \infty

Find intervals:

Decreasing

: πn < x < \frac{π}{2} + πn,

Increasing

: \frac{π}{2} + πn < x < π + πn

Plug the extreme point

x = πn

into

3 cos^{2} (x) \Rightarrow y = 3

Maximum (πn, 3)

Plug the extreme point

x = \frac{π}{2} + πn

into

3 cos^{2} (x) \Rightarrow y = 0

Minimum (\frac{π}{2} + πn, 0)

Maximum (πn, 3), Minimum (\frac{π}{2} + πn, 0)

f (x) = 6 x - 8 sin (x), 0 \leq x \leq π

f (x) = \frac{15 x ^{2} - 2 x - 7}{- 5 x - 1} y

f (x) = e^{x^{2}} (x^{2} - 5) + 8

f (x) = 2 + 5 e^{- 0.1 x}

\frac{3 x}{5 - x}

What is the extreme 3cos^2(x) ?
The extreme 3cos^2(x) is Maximum(pin,3),Minimum(pi/2+pin,0)