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

The critical f(x)= x/2+cos(x) is x= pi/6+2pin,x=(5pi)/6+2pin

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critical f(x)= x/2+cos(x)

critical points

f (x) = \frac{x}{2} + cos (x)

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

\frac{x}{2} + cos (x)

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Identify critical points not in

f (x)

domain

Domain of

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

All critical points are in domain

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

f (x) = \frac{x ^{2} + 4}{x ^{2} - 1}

8 x^{2} + 12 x + 3

f (x) = 9 x + 9 - 2

f (x) = \frac{5 x + 10}{x ^{2} + 7 x + 10}

f (x) = x^{3} + x

What is the critical f(x)= x/2+cos(x) ?
The critical f(x)= x/2+cos(x) is x= pi/6+2pin,x=(5pi)/6+2pin