00:01
In this question, we are given that r with respect to x is the revenue received from sales of x units of products.
00:16
And also ar is defined to be the average revenue, and that is rx over x.
00:27
In this question, we want to show the average revenue is equals to the marginal revenue.
00:34
Now, marginal revenue is defined to be the differentiation of r.
00:43
So now let's differentiate our ar.
00:51
So when we differentiate our ar, we'll be using quotient rule.
01:04
We square the denominator, repeat the denominator at the top.
01:08
Now, we differentiate the numerator, and that would be r prime x, put a minus sign.
01:16
Now we freeze the numerator so that's rx and we differentiate the denominator so x when we differentiate is just 1.
01:26
So now this is our differentiated ar...