What is the critical f(x)=2sin(x/2) ?

The critical f(x)=2sin(x/2) is x=pi+4pin,x=3pi+4pin

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critical f(x)=2sin(x/2)

critical points

f (x) = 2 sin (\frac{x}{2})

x = π + 4 πn, x = 3 π + 4 πn

Solution steps

2 sin (\frac{x}{2})

Find where

f^{'} (x)

is equal to zero or undefined

x = π + 4 πn, x = 3 π + 4 πn

Identify critical points not in

f (x)

domain

Domain of

2 sin (\frac{x}{2}) : - \infty < x < \infty

All critical points are in domain

x = π + 4 πn, x = 3 π + 4 πn

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

f (x) = x^{3} - 3 x^{2} + 4 x + 5

f (x) = 2 x^{3} + 9 x^{2} - 24 x + 5

f (x) = x + \frac{16}{x}

f (x) = \frac{x + 1}{x ^{2} + 3}

What is the critical f(x)=2sin(x/2) ?
The critical f(x)=2sin(x/2) is x=pi+4pin,x=3pi+4pin