4 Maths -- Applications of Derivatives

The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.005x3 – 0.02x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

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4 Maths -- Applications of Derivatives

The total cost C(x) associated with the production of x units of an item is given by C(x) = 0.005x3 – 0.02x2 + 30x + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

0 Answers

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State Rolle's theorem. Verify that the function f(x)= x(x-3)^2 on [0,3] satisfies conditions of Rolle's theorem and find C prescribed in the theorem.

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