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Concavity Question

Anonymous Tue 01 Dec 2020 11:35:45 No.931882 View View Reply Original Report

Quoted By: >>931910

how to know the interval in which the function increases and decrease? Only knowing it's second derivative. For example, x^3-27

Anonymous

Anonymous Tue 01 Dec 2020 11:36:41 No.931883 Report

Quoted By:

The second derivative f''(x)= x^3-27. I meant

Anonymous

Anonymous Tue 01 Dec 2020 11:45:29 No.931888 Report

Quoted By: >>931905 >>931908

Still waiting

Anonymous

Anonymous Tue 01 Dec 2020 12:23:04 No.931905 Report

Quoted By:

>>931888
>10 minutes later
next you're going to say "took a while, but thanks!"

Anonymous

Anonymous Tue 01 Dec 2020 12:32:55 No.931908 Report

Quoted By:

>>931888
you waited 10 minutes ass hole

Anonymous

Anonymous Tue 01 Dec 2020 12:35:16 No.931910 Report

Quoted By: >>931955

>>931882
By definition you don't, because:
- it's increasing when the first derivative is positive
- it's decreasing when the first derivative is negative
- the first derivative is the antiderivative of the second derivative, PLUS OR MINUS A CONSTANT
- you can't know that constant
- so you can't know if the first derivative is positive or negative
- QED.

Anonymous

Anonymous Tue 01 Dec 2020 14:20:32 No.931955 Report

Quoted By:

>>931910
Took a while, but thanks! You really helped anon.

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