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- The rate of growth of profit (in millions) from an invention is approximated by P'(x) = xe -X, where x represents time in years. The total profit in year 1 that the invention is in operation is $10,000. Find the total profit function P(x). 1 O A. P(x) = - - 194,000 O B. P(x) = - 5e -x? + 194,000 O C. P(x) = - -x² - 0.194 O D. P(x) = - .5e + 0.194Find the marginal revenue function. R(x) = x(13-0.04x) R'(x) =The revenue in dollars from the sale of x calculators is given by the equation R(x) = 8 + 440x - 2x where 0The total profit from selling x units of cookbooks is P(x) = (2x-2)(4x-9). Find the marginal average profit function, P'(x). OA. P'(x)=8-. 18 x² O B. P'(x) = 8x-18 Oc. P'(x)=8- 26 x² OD. P'(x) = 8x-26 -Find the marginal revenue function. R(x)=x(18-0.02x) R'(x)=Differentiate. V(x) = (5x + 3)(x – 2x) V'(x) =The marginal profit of a product is given by P'(x) 16 -0.011e0.2x dollars per item, where x is the number of items produced and sold. Find the profit for the first 15 items. Round your answer to the nearest cent. =The total profit from selling x units of cookbooks is P(x) = (2x-2)(7x-8). Find the marginal average profit function, P'(x). OA. P(x) = 14x-16 30 OB. P'(x)=14-- 2 OC. P'(x) = 14x-30 16 OD. P'(x)=14-Differentiate. F(x) = (8x +5)² %3D F'(x)=]To find the revenue function, we integrate the marginal revenue function. In this case we can use the Exponential Formula, eu · u' dx = eu + C. R(x) = 8e0.01x dxFind the slope of the graph of the function f(x)=(-5x – 4)² at x = 3. a. f'(x)=-38 b. f'(x)=95 c. f'(x)=-13,718 d. f'(x)=110 e. f'(x)=190f'(1.0) =SEE MORE QUESTIONS