Question

I need some help with a calculus problem.

Answer 1

What is it.

Answer 2

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).

Answer 3

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

Answer 4

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