## lynda.boyce one year ago I need some help with a calculus problem.

1. anonymous

What is it.

2. lynda.boyce

the profit (in millions 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).

3. phi

the derivative with respect to x of $$a x^n$$ where a is a constant is: $\frac{d}{dx} a x^n = a\cdot n \cdot x^{n-1}$

4. phi

use that rule for each term in your problem. Notice the second term can be written as $$100 x^1$$ so the rule applies.