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Use the product rule to find the derivatives of the given functions. (See Examples ] and 2.) (Hint for Exercises 6-9: Write the quan- tity

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Use the product rule to find the derivatives of the given functions. (See Examples ] and 2.) (Hint for Exercises 6-9: Write the quan- tity as a product.)Use the quotient rule to find the derivatives of the given functions. (See Examples 3 and 4.)Find the derivative of each of the given functions. (See Example 5.)\fFind the equation of the tangent line to the graph of f(x) at the given point.\f35. Business A hotdog vendor must pay a monthly fee to oper- ate a food cart in the city park. The cost in dollars of selling x hundred hotdogs in a month can be approximated by C(x) = 200 + 75.x. (a) Find the average-cost function. (b) Find and interpret the average cost at sales levels of 1000 hotdogs and 5000 hotdogs. (c) Find the marginal average-cost function. (d) Find and interpret the marginal average cost at sales levels of 1000 hotdogs and 5000 hotdogs

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