# Is #f(x)= x-12sinx # increasing or decreasing at #x=-pi/6 #?

##### 1 Answer

Jan 2, 2016

The function is decreasing.

#### Explanation:

If

If

Find

#f'(x)=1-12cosx#

Find

#f'(-pi/6)=1-12cos(-pi/6)=1-12(sqrt3/2)=1-6sqrt3#

Since