00:01
Hello students, today we will discuss about this question.
00:04
In this question we are given the domain function, the demand function that is given by p that is equals to 5 ,000 divided by mutual log of x plus 5, where p will be the price per unit dollar in dollars and x will be the number of the number of of units that are demanded.
00:39
And here we need to find the rate of change of price, the rate of change of price, that means with respect to number of units sold.
00:57
So that means dp divided by dx when x is equals to 40 so when x is equals to 40 units demanded and then we need to find dp divided by d x when x that is equals to 90 so here first of all we are given that p that is equals to 5 ,000 divided by natural log of x plus 5 so that implies that dp divided by d x that is equals to 5 ,000 in bracket d divided by d x of 1 divided by natural log of x plus 5.
01:35
So that is equals to we can write 5 ,000 in bracket, natural log of x plus 5 multiplied by 0 minus 1 divided by x plus 5 divided by ln of x plus 5 whole square.
01:52
So that is equal to dp divided by d x, that is equals to we can write minus 5 ,000 divided by x plus 5 5.
02:02
In another bracket, ln of x plus 5 whole square...