00:01
Hi there.
00:01
In this problem, we're asked to find the three partial derivatives with respect to each variable here.
00:06
So let's begin with the partial with respect to x.
00:11
So treating y and z as constants, just treating x as the variable.
00:16
Well, this first term, 1 will become 0, of course.
00:20
For this next term, y squared, we're just treating as a constant.
00:24
So the derivative of a constant times x, we know, is just that constant.
00:30
And finally, this last term doesn't even contain an x, so that'll be zero.
00:35
So we just end up with y squared.
00:40
Okay.
00:41
Now the partial in terms of y.
00:45
First term, again, zero...