00:01
So in this problem, we get the function written first.
00:06
5 halves x squared minus 24x plus 3.
00:13
And what we care about is the bounds from negative 10 to 5.
00:17
So the first thing i need to do is find the derivative of this.
00:21
It's just the power rule where you multiply the exponent by the coefficient and then subtract 1 from the exponent.
00:27
So 5 halves times 2 is just 5x to the first minus 24.
00:32
And then you set this equal to 0.
00:36
And factors of negative 24 would be 8 and 3.
00:39
Make the 3 negative.
00:42
And so what we're looking at is the critical numbers.
00:46
So these are the factors.
00:48
But using the zero product property, these critical numbers will be the opposite, negative 8 and positive 3.
00:55
So what you have to do is finish...