Name: Homework #4: 1. The profit function, P(x), in thousands of dollars, is based 2. Use basic rules and the power rule to differentiate the on selling x new cars. Use this context and complete functions and simplify as much as possible. Be careful! Label sentences to explain the meaning of each of the following: your answers using derivative notation. A) P(1000) = 600 A ) f (x ) = + B) P'(1000) = 5 B) g(x) = 2x + F 3Vx 3. Compute the following average rates of change for the function f(x) = vx. Show your work and round your answers to 5 decimal places. Then use these rates to estimate the instantaneous rate of change at x = 16. Estimate does NOT mean guess. Estimate means to make a logical approximation based on your calculations. A. Find the average rate of change from x = 16 to x = 25. B. Find the average rate of change from x = 16 to x = 17. C. Find the average rate of change from x = 16 to x = 16.1. D. Find the average rate of change from x = 16 to x = 16.01. E. The instantaneous rate of change at x = 16 is