# How do you find the critical numbers of #f(x) = x + 2sinx#?

##### 1 Answer

Nov 26, 2016

The critical points are

#### Explanation:

The derivative of the function is

#f'(x) = 1 + 2cosx#

Critical points will occur whenever the derivative equals

#0 = 1 + 2cosx#

#-1 = 2cosx#

#-1/2 = cosx#

#x = (4pi)/3 + 2pin and (2pi)/3 + 2pin#

Hopefully this helps!