Question

can someone just summarize/review critical numbers and possible points of inflection. Also why are they important?

Answer 1

critical values mean at that point, there must be a maximum or minimum. to find it, you have to set the second derivative equal to zero and solve for it.

Answer 2

for example, let say if u want to know what how many units u should sell to find the maximum revenue. you will use these kind of things.

Answer 3

ok ok i see but can you clarify the min/max issue, i think i'm a little hazy on that.
for this graph, there wouldn't be a min/max, but there would be a critical number right?

Answer 4

or would there be a max...relative max? even though its not differentiable??

Answer 5

why you said that there is no max in that function?

Answer 6

it just mean that that point is not differentiate at that point C, because it's not "smooth"

Answer 7

ok ok at (c, f(c) ) , thats the max. thanks!