00:01
Okay, let's take derivative.
00:02
24x to the fifth minus 20x to the third.
00:10
So what's common here? 4x cubed is common, right? so then we have 6x squared minus 5 is equal to zero.
00:27
6x squared minus 5 is equal to zero or x is equal to zero, so that's one.
00:33
And the other two are plus or minus square root of 5 over 6, okay? or plus or minus 0 .913.
00:50
So let's see what's happening here.
00:56
Negative 5 over 6, positive 5 over 6, and zero.
01:03
First derivative test.
01:07
So put negative 2 or something here, right? if i put negative 2, negative, negative.
01:16
I get a positive negative.
01:19
It's infinity to infinity.
01:23
And then put negative half.
01:29
So 4x cubed will be negative 6 over 4.
01:34
Also, that's negative.
01:36
Okay, positive.
01:38
Okay, put 1.
01:40
We can put 1.
01:42
Put 1 over 2...