1. Given the known information about the derivative of a function, and the function exists everywhere. Answer the following questions.
a) Identify the critical points of the function.
b) Create a first derivative sign chart.
c) Determine the intervals on which the function increases and decreases.
d) Classify the critical points as relative maximums, relative minimums or neither.
f'(1)=0 f'(3)=0 f'(8)=0

f'(x)<0 on (-∞,1), (3,8)

f'(x)>0 on (1,3), (8, ∞)