Question

Question about critical numbers of this graph f'(x).

Answer 1

My first question, is B a critical point?

Answer 2

for y ? yes

Answer 3

Ah. See I thought the points it was just the points at zero that were critical points. How many critical points total are there? I counter four.

Answer 4

*counted

Answer 5

ok so first the points where y = 0 are critical points of f(x)

Answer 6

it is important to understand if the question is about f'(x) or f(x) ..
the critical points of f(x) are the points where y = f'(x) = 0

Answer 7

Well the question just says to "find the number of critical points of f."

Answer 8

of f!!

Answer 9

not f' ! as i thought .. so you should count the zeros of this function since the critical points of f(x) is given by f'(x) = 0.

Answer 10

Ah, ok then. So it is four critical points for the graph of f then. Is B still a point though?

Answer 11

The question asks which of the following is true:

a. x = b is not a critical number for f
b. x = b is a critical number for f and f has a local minimum at x = b.
c. x = b is a critical number for f and f has a local maximum at x = b.
d. x = b is a critical number for f , but f has neither a local maximum nor a local minimum
at x = b.
e. None of these

Answer 12

x=b is not a critical point of f

Answer 13

That's what I thought. It just seemed like I was getting too many of those type of answers (it asks about x=d also), so I wasn't sure. Well thanks for confirming.

Answer 14

you see x=b might be an inflection point of f..
and it is a critical point of f'.

Answer 15

Right. This stuff seems simple, but yet it still manages to trip me up lol

Answer 16

yes i can understand you

Answer 17

Well thanks. CS

Answer 18

yw