Question: The derivative of the polynomial function f(x) = c x is given by f'(x)=nc xn-1. ClearPic manufactures LCD screens. Its managers believe that it's

The derivative of the polynomial function f(x) = c x" is given

The derivative of the polynomial function f(x) = c x" is given by f'(x)=nc xn-1. ClearPic manufactures LCD screens. Its managers believe that it's cost structure is described well by the function TC (x) = 50 + 3x, where x is the number of screens produced. I. TC(x+h)-TC(x) h Simplify it as much as possible. a. Compute the difference quotient: b. Suppose that ClearPic is currently producing 20 screens and its CEO asks you how much it will cost per screen (average rate) to increase production by 10 screens. Use your answer from part (a) to answer the question. .

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