What is the critical {sin(x):x = 0} ?

The critical {sin(x):x = 0} is x= pi/2+2pin,x=(3pi)/2+2pin,x=0

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critical {sin(x):x<0,2x:x>= 0}

critical points

{sin (x) : x < 0, 2 x : x \geq 0}

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = 0

Solution steps

{sin (x) : x < 0, 2 x : x \geq 0}

Critical Points of

{sin (x) : x < 0} : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Critical Points of

{2 x : x \geq 0} :

None

Combine critical points of all pieces:

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

Evaluate interval endpoint

x = 0 :

critical point

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn, x = 0

What is the critical {sin(x):x<0,2x:x>= 0} ?
The critical {sin(x):x<0,2x:x>= 0} is x= pi/2+2pin,x=(3pi)/2+2pin,x=0