Concavity Calculus Proof.

[naive kiln]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[abstract haven]

The statement is false

I will send the counter example later

[vocal gust]

Are you sure?

What is your counter example? I was leaning towards true.

[abstract haven]

Yeah

I think so

[vocal gust]

Why would it be false?

[abstract haven]

f and g

Are not nessarily result in a complex down function

I can prove it to true also false also

[vocal gust]

?

How can something be true and false? lol.

[abstract haven]

Its true

I am proving it

Using chain rule

Find the 2nd derivative

Of h(x)

Ok?

[vocal gust]

yeah

ok

I will get that

that isn't the hard part

[abstract haven]

I think you can do it

[vocal gust]

yes

after that what do i do

[abstract haven]

You will write

Something

f''(x) < 0 and g''(x) < 0.

Since f is increasing

f"(x) > 0

For all x

So, h"(x) is negative

Stating that

[vocal gust]

ok so I would just keep saying things like that to show that the entire thing is concave down by showing how all the sub parts all concave down?

[abstract haven]

h(x) = f(g(x))

Statement is true

[abstract haven]

Yess

Understood it?

[vocal gust]

yeah that is what I had originally done but it was so quick and short that I thought I was wrong lol

[abstract haven]

Lol

You can close the post now

If you want you can nominate me

Now type +close

[vocal gust]

+close