Science:Math Exam Resources/Courses/MATH100/December 2015/Question 10 (g)/Solution 1
We need to determine the sign of.
From part (e) we have , where is always positive so it doesn't have any role in the sign. We only need to determine the sign of .
From part (f) is at ,
so we make a sign chart for to find where it is positive and negative and therefore where the function is increasing and decreasing.
Intervals that is decreasing: .
Intervals that is increasing: .