00:01
So for this problem, we want to find our first derivative, with respect to x.
00:05
And so we can see that this is a pretty complex term here.
00:09
So we're going to need to use the chain rule.
00:11
And before we do that, i'm going to go ahead and break this apart into our separate portions, so that it's a little bit easier to keep track of what we're doing.
00:19
So we can see that the outermost portion that we're going to differentiate first is this exponent of negative 2.
00:25
The next intermost portion is this 1 plus cotangent of 2 over x term.
00:30
So we're going to take the derivative of that.
00:33
And finally, inside of this two over, or cotangent term, we're going to need to take the derivative of 2 over x.
00:40
And so we can go ahead and start finding our derivative now...