The profit (in milliions of dollars) derived from selling x units of a certain software is modeled by the following function: P(x)=0.003x^3 + 100x.
If the rate of change in profit, called the marginal profit is modeled by the derivative of P(x), find P'(x). Find the marginal profit for a production level of 100 units. Find the actual gain in profit by increasing the production from 100 units to 101 units. Help! I am lost!!

Question

The profit (in milliions of dollars) derived from selling x units of a certain software is modeled by the following function: P(x)=0.003x^3 + 100x.
If the rate of change in profit, called the marginal profit is modeled by the derivative of P(x), find P'(x). Find the marginal profit for a production level of 100 units. Find the actual gain in profit by increasing the production from 100 units to 101 units. Help! I am lost!!