Find all critical numbers for the function
f(x)=9x^3−27x+4,
and then list them (separated by commas) in the box below.

Question

Find all critical numbers for the function
f(x)=9x^3−27x+4,
and then list them (separated by commas) in the box below.

anonymous · Answer

@baldymcgee6 do you have any idea?

babyslapmafro · Answer

First, find the derivative of f(x)

anonymous · Answer

27x^2-27

baldymcgee6 · Answer

Critical points are where f'(c)= 0 or f'(c) does not exist.

babyslapmafro · Answer

Now find the values of x that allow f ' (x) to equal zero

babyslapmafro · Answer

f ' (x) = 0

The x value(s) that allow f ' (x) = 0 are the critical values

anonymous · Answer

ok so -1, and 1

baldymcgee6 · Answer

exactly..

babyslapmafro · Answer

yea you got it

anonymous · Answer

ah ok thats not to hard was trying it before, and guy that was helping me was telling me something totally different

baldymcgee6 · Answer

I see, just remember its where the derivative does not exist or f'(c)=0 and you're set..

anonymous · Answer

ok sounds good thanks both of you

anonymous · Answer

@baldymcgee6 would have given you a medal but he answered first :(