Question

True or false, help!

Answer 1

If f '(c) = 0, then f has a local maximum or minimum at x = c- true or false

I feel like this is partially true, except I think it could also be an inflection point, so it's not totally true

Answer 2

What do you think?

Answer 3

I think it is true

Answer 4

So inflection point is out of the question? Do you know why?

Answer 5

I don't know how to explain it :/

Answer 6

If it's not totally true then you know it must be?

Answer 7

If it's not totally true it must be false you mean?

Answer 8

At a inflection point the function is changing concavity. Will f'(c)=0 at that point? It certainly could right?

Answer 9

but if f is increasing at an increasing rate on (a,b) then an inflection point wouldn't be subjective to the situation, you know?

Answer 10

Yes so false, given the the information you have given.

Answer 11

If that is all the problem asks?

Answer 12

SO the inflection point could be possible. Okay. Thank you! That's all thanks!