Find the marginal profit

Question

The profit in dollars from the sale of x thousand compact disc players is P(x)= x³ - 8x² +6x + 7. Find the marginal profit when the value of x is 11.

Answer 1

The marginal profit can be found by taking the derivative of the profit function.

 

In this case

 

P'(x) = 3x² - 16x + 6

 

P'(x=11) = 3*11*11-16*11 + 6 = 193