00:01
There is a question, in this i need to find the total, find the cost function.
00:04
If the marginal cost function is given as c 'x equal to x raised to the power 2 by 3 plus 3 and cost of 8 unit, that means c8 equal to 56 dollars.
00:19
We know that marginal cost is dc by dx x raised to the power 2 by 3 plus 3.
00:26
I have to solve this differential equation.
00:28
This is variable separable type of differential equation dx.
00:33
Now integrating both sides.
00:36
So cost function would become x raised to the power 2 by 3 plus 1 divided by 2 by 3 plus 1 and this is 3.
00:47
So i have to write 3.
00:51
3x plus c where c is the constant or i will be writing k where k is the constant of integration.
01:00
Now cost function will be written as 3 by 5 x raised to the power 5 by 3 plus 3x plus k.
01:14
Equation number 1...