Question

for which interval(s) is the function y=3x^3-16x+2 increasing and decreasing?

Answer 1

derivatives!?!!

Answer 2

Like I mean this is calculus question, right?

Answer 3

To find where f(x)=3x^3-16x+2 is decreasing or increasing we need to first find f'(x).

Answer 4

We will then find where f'=0
this will tell us that it is neither decreasing or increasing
so it must be when it is not f'=0 that is doing one of those things
so we will test the intervals around the critical numbers and determine if f'>0 or if f'<0
if f'>0 on a interval then f is increasing on that interval
if f'<0 on a interval then f is decreasing on that interval