Thread: Increasing/Decreasing and Abs Max and Min

i'd like your thoughts on this one. thank you!

Find the intervals on which f is increasing/decreasing and state any relative extrema

1)

So I find the derivative to find the critical numbers:





So I set that equal to zero:

Divide by -2:

Add :

Sub :

Divide by :

So:

So I went on the unit circle and found all the places where the x coordinate is one half and included the negative of those angles angles since

Based on that I got

Is this right so far?

you missed solutions when you divided by , note that the correct procedure is to factor ...













also, note that the solution interval is to , so the negative solutions are not needed.

Hi

You should not divide by but rather factor



1 - 2 \cos \theta) = 0" alt="\sin \theta \1 - 2 \cos \theta) = 0" /> which leads to

or

And since the interval is



EDIT : too late !

thank you both!