00:01
We want to graph this function.
00:04
So first notice when x is zero, then y is zero.
00:09
That's our only intercept by the way.
00:12
Intercept, it crosses both axes at the origin.
00:17
Take the derivative, and so that's equal to zero when x is plus or minus five.
00:34
Those are our critical points.
00:38
At x equals five, y is 1 1 0, and at x equals minus five, it's minus a 10.
00:46
We can at least speculate that that 1 1 0 is our maximum and the other ones are minimum.
01:01
I'm gonna rewrite dy dx like this.
01:04
That'll make it easier to take the second derivative.
01:09
So writing like this makes it easier to take the second derivative.
01:14
So here's the second derivative.
01:15
So the inflection points are at x equals zero and plus or minus the square root of 75...