find the marginal revenue function. r(x)=2x - 0.07x^2 r(x)=□

Explanation:

Step1: Recall derivative rules

The derivative of a sum/difference of functions is the sum/difference of their derivatives. Also, the derivative of $ax^n$ is $nax^{n - 1}$.

Step2: Differentiate each term

For the first - term $2x$, using the power rule ($n = 1,a = 2$), its derivative is $1\times2x^{1 - 1}=2$. For the second - term $-0.07x^2$, using the power rule ($n = 2,a=-0.07$), its derivative is $2\times(-0.07)x^{2 - 1}=-0.14x$.

Step3: Combine the derivatives

$R'(x)=\frac{d}{dx}(2x-0.07x^2)=\frac{d}{dx}(2x)-\frac{d}{dx}(0.07x^2)=2 - 0.14x$.

Answer:

$2 - 0.14x$