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1. When the selling price of a T-shirt is p dollars per shirt, a company sells d(p) shirts daily. In other words, the function d(p)
1. When the selling price of a T-shirt is p dollars per shirt, a company sells d(p) shirts daily. In other words, the function d(p) gives the daily demand, in T-shirts, as a function of price. Values of the function d are given in the table below. p (dollars) 15 20 25 30. 35 40 d(p) (T-shirts) 49 37 30 25 22 19 (a) Estimate f'(30), and include units with your answer. (b) Give a complete sentence interpretation of your answer to part (a) in the context of this problem. For Problem 2, you are given the graph of a function f. Sketch a graph of f' together with f on the same set of axes. Please make it clear which graph is which by labeling each graph. 2. For Problem 3, use the limit definition of the derivative to find f'(x). Show your work, and circle your final answer. 3. f(x)=6-22
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