00:01
We're asked to plot f of x equals minus x cube or sketchlist plot.
00:09
So i did that down here, and i did it with the computer so that we can, again, make sure it's accurate.
00:16
Instead of plugging in tons and tons of points, which i don't know if that's what they wanted you to do or not.
00:22
But this is just a simple cubic, but it's negative, so it's flipped over the, you know, it's mirrored over the x -axis.
00:32
So clearly when x is zero, f is zero, so we go through the origin.
00:37
It's also, it's an odd function.
00:41
So anything we have over here, we'll have a mirror down here about the origin here.
00:50
Let's see here.
00:50
We have minus taking the derivative, we get minus 3x squared.
00:57
And we can see that the derivative is zero when x is zero.
01:01
So we know we have a horizontal tangent here.
01:05
And then we're taking another derivative, we get minus 6x...