00:02
Here guys, let's do problem 15.
00:04
In this problem, we need to find the marginal revenue function, and the revenue function is given.
00:10
We know that marginal revenue function, which we denote as r prime x, is the first derivative of the revenue function.
00:19
And the equation is given here, which is x multiplied by, in the bracket, in the first bracket, we have 12 minus 0 .04x.
00:27
Here we can write 12x minus 0 .04 x squared as the revenue function and when we take the derivative of this equation which we get here is 12 is the constant therefore we can take it out and then we have x which we need to take the derivative of x then we have 0 .04 which is again a constant we can take it out then we have x squared we need to take the derivative for of x is square.
01:00
From the differentiation rule, we know that d d x x to the power n, the differentiation of x to the power n gives us n multiplied by x to the power n minus 1...