
Marginal Revenue
I need to find the marginal profit as tied into this equation
R=2x(900+32xx^2)
with Marginal Revenue = $\displaystyle \frac{dP}{dx}$
a.) Additional revenue for x=14 to x=15
b.) Marginal revenue when X=14
c.) Compare b and a
The problem I'm having is that my marginal revenue looks nothing like my additional revenue hahaha
Marginal revenue is supposed to be gotten from the derivative of the equation that I wrote out as $\displaystyle 2(32*2x)$. Part of this is from me dropping the 900 from the inside the () because it didn't have a x factor. Am I correct in doing this? This is supposed to create a "per unit" sort of equation. Am I doing something wrong? Thanks in advance

The differentiated answer is =2(900+32xx^2)+2x(322x)
Giving you an answer of 6x^2+128x+1800
as you have forgotton to use the product rule for differentiating two things multiplied together
as a quick check you can ensure that the highest power is one less than it was in the initial equation as this will be true if you have differentiated it correctly