00:01
In this question, we want to find the absolute extremal of the function.
00:06
Here we recall that the absolute extremar occurs only at critical numbers or at the end point.
00:30
Now in this question we're given the function gx equal to the second of the x on the interval from a spy out of 6.
00:43
To the pi out of 3.
00:47
Here the first step we need to find the critical numbers by doing the derivative of the function so g prime the x equal to derivative of the second equal to the second times the tension of the x and then we want to sentence equal to 0 it means that we should get this one we can write this down into the side x over goes to square x equal to 0.
01:17
Now on the interval from minus by the 6 to bight of 3 doesn't equal to even only if the x must equal to 0 and then we found one critical numbers here.
01:30
Another thing we noticed that we have the so that's all from the critical numbers.
01:40
Now we need to change the value of the function at the end point and add the critical number as well.
01:46
So g of the minus pi out of 6, we get equal to the second of the minus pi out of 6, then we get equal to the 2 over square of 3...