What is the critical {sin(x):-4pi = 0} ?

The critical {sin(x):-4pi = 0} is x=-(7pi)/2 ,x=-(5pi)/2 ,x=-(3pi)/2 ,x=-pi/2 ,x=0

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critical {sin(x):-4pi<x<0,2x:x>= 0}

critical points

{sin (x) : - 4 π < x < 0, 2 x : x \geq 0}

x = - \frac{7 π}{2}, x = - \frac{5 π}{2}, x = - \frac{3 π}{2}, x = - \frac{π}{2}, x = 0

Solution steps

{sin (x) : - 4 π < x < 0, 2 x : x \geq 0}

Critical Points of

{sin (x) : - 4 π < x < 0} : x = - \frac{7 π}{2}, x = - \frac{5 π}{2}, x = - \frac{3 π}{2}, x = - \frac{π}{2}

Critical Points of

{2 x : x \geq 0} :

None

Combine critical points of all pieces:

x = - \frac{7 π}{2}, x = - \frac{5 π}{2}, x = - \frac{3 π}{2}, x = - \frac{π}{2}

Evaluate interval endpoint

x = 0 :

critical point

x = - \frac{7 π}{2}, x = - \frac{5 π}{2}, x = - \frac{3 π}{2}, x = - \frac{π}{2}, x = 0

f (x) = x^{4} - 4 x^{3} + 1

x^{3} + x^{2}

f (x, y) = 3 x^{2} - 2 x^{3} + y^{2} - 8 y + 4

f (x, y) = x y + \frac{3}{x} + \frac{9}{y}

x y^{2} + 2 x y

What is the critical {sin(x):-4pi<x<0,2x:x>= 0} ?
The critical {sin(x):-4pi<x<0,2x:x>= 0} is x=-(7pi)/2 ,x=-(5pi)/2 ,x=-(3pi)/2 ,x=-pi/2 ,x=0