6. Find the derivative of the following functions using the limit definition of the derivative: (a)...

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6. Find the derivative of the following functions using the limit definition of the derivative: (a) f(x) = 7x +3 (b) g(r) = -2r +6 (c) h(y) = 7T 7. Consider the cost function C(x) = 100+ x. Show that the marginal cost of producing 50 units approaches $100 by calculating a variety of cost differences. Hint: This is what we did in our lecture on Marginal Analysis. Note: This should require a fair amount of work shown. 6. Find the derivative of the following functions using the limit definition of the derivative: (a) f(x) = 7x +3 (b) g(r) = -2r +6 (c) h(y) = 7T 7. Consider the cost function C(x) = 100+ x. Show that the marginal cost of producing 50 units approaches $100 by calculating a variety of cost differences. Hint: This is what we did in our lecture on Marginal Analysis. Note: This should require a fair amount of work shown.