00:01
Here, we're given the profit in terms of q as 73 qe to the negative 0 .5 q.
00:12
And we want to write an expression for p prime of q.
00:18
So what we need to do is a product rule.
00:20
I'm going to take the 73 out front and ignore it.
00:23
And then the product rule says take the derivative of the first term, derivative q is 1, times the second unchanged.
00:30
So i'm eating a negative 0 .5q.
00:32
And then i'm going to add the first unchanged times the derivative of the second, which is negative 0 .5q, and then don't forget the chain rule, negative 0 .5.
00:45
So really, i have 73 times, well, let's go ahead and pull out an e to the negative 0 .5q as well, and i'm left with 1 minus 0 .5q...