What is the critical f(x)=|sin(x)| ?

The critical f(x)=|sin(x)| is x= pi/2+2pin,x=pi+2pin,x=(3pi)/2+2pin

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critical f(x)=|sin(x)|

critical points

f (x) = ∣ sin (x) ∣

x = \frac{π}{2} + 2 πn, x = π + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

∣ sin (x) ∣

Absolute value functions are piecewise functions

Find the function intervals:

2 πn < x < π + 2 πn, x = π + 2 πn, π + 2 πn < x < 2 π + 2 πn

Evaluate the function behavior for each interval

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{2} + 2 πn, x = π + 2 πn, x = \frac{3 π}{2} + 2 πn

What is the critical f(x)=|sin(x)| ?
The critical f(x)=|sin(x)| is x= pi/2+2pin,x=pi+2pin,x=(3pi)/2+2pin