Question

What do the maximum and minimum points of the function f'(x) tell you about the function f(x)?

Answer 1

The max and minimum points of f'(x) is where f''(x)=0. So, they may be inflection points.

Answer 2

Inflection points of f(x)***

Answer 3

So the extrema of the first derivative are the points of inflection for the regular function?

Answer 4

Typically. There are a few isolated cases where f''(x)=0 doesn't give you an inflection point. But in 98% of cases. Yes.

Answer 5

We get your point but the question is asked 'wrong'. It is actually the max and min of f(x). It is investigated by looking at f'(x).

Answer 6

? The max and minimum of f'(x) tell you nothing about the max/min of f(x). Only the zeros. But I see your point I suppose? I mean, what I said is still correct...

Answer 7

good answer: http://www.themathpage.com/acalc/max.htm

Answer 8

Yes, what you said is correct; I was referencing QRAwarrior's original question.

Answer 9

? I did answer his original question O.O

Answer 10

Never mind. It's not important.

Answer 11

Okay haha